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Finding the Fourth Proportional to 15,930.13, 21,984.74 and 9,557

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Solution

The fourth proportional to 15,930.13, 21,984.74 and 9,557 is: 13,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.13 : 21,984.74 = 9,557 : x
  2. Step 2: Convert to fraction form
    15,930.13/21,984.74 = 9,557/x
  3. Step 3: Cross multiply
    15,930.13x = 21,984.74 × 9,557
  4. Step 4: Simplify right side
    15,930.13x = 210,108,160.18
  5. Step 5: Solve for x
    x = 210,108,160.18/15,930.13
  6. Step 6: Final answer
    x = 13,189.36

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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.