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Finding the Fourth Proportional to 21,352.93, 32,048.95 and 10,830.22

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Solution

The fourth proportional to 21,352.93, 32,048.95 and 10,830.22 is: 16,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.93 : 32,048.95 = 10,830.22 : x
  2. Step 2: Convert to fraction form
    21,352.93/32,048.95 = 10,830.22/x
  3. Step 3: Cross multiply
    21,352.93x = 32,048.95 × 10,830.22
  4. Step 4: Simplify right side
    21,352.93x = 347,097,179.27
  5. Step 5: Solve for x
    x = 347,097,179.27/21,352.93
  6. Step 6: Final answer
    x = 16,255.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.