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Finding the Fourth Proportional to 21,852.50, 32,803.07 and 11,319.71

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Solution

The fourth proportional to 21,852.50, 32,803.07 and 11,319.71 is: 16,992.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.50 : 32,803.07 = 11,319.71 : x
  2. Step 2: Convert to fraction form
    21,852.50/32,803.07 = 11,319.71/x
  3. Step 3: Cross multiply
    21,852.50x = 32,803.07 × 11,319.71
  4. Step 4: Simplify right side
    21,852.50x = 371,321,182.91
  5. Step 5: Solve for x
    x = 371,321,182.91/21,852.50
  6. Step 6: Final answer
    x = 16,992.16

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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.