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Finding the Fourth Proportional to 21,409.80, 32,114.70 and 11,041.80

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Solution

The fourth proportional to 21,409.80, 32,114.70 and 11,041.80 is: 16,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.80 : 32,114.70 = 11,041.80 : x
  2. Step 2: Convert to fraction form
    21,409.80/32,114.70 = 11,041.80/x
  3. Step 3: Cross multiply
    21,409.80x = 32,114.70 × 11,041.80
  4. Step 4: Simplify right side
    21,409.80x = 354,604,094.46
  5. Step 5: Solve for x
    x = 354,604,094.46/21,409.80
  6. Step 6: Final answer
    x = 16,562.70

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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.