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Finding the Fourth Proportional to 15,938.13, 22,000.08 and 9,650.50

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Solution

The fourth proportional to 15,938.13, 22,000.08 and 9,650.50 is: 13,321.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,938.13 : 22,000.08 = 9,650.50 : x
  2. Step 2: Convert to fraction form
    15,938.13/22,000.08 = 9,650.50/x
  3. Step 3: Cross multiply
    15,938.13x = 22,000.08 × 9,650.50
  4. Step 4: Simplify right side
    15,938.13x = 212,311,772.04
  5. Step 5: Solve for x
    x = 212,311,772.04/15,938.13
  6. Step 6: Final answer
    x = 13,321.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.