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Finding the Fourth Proportional to 15,666.52, 21,619.74 and 9,697

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Solution

The fourth proportional to 15,666.52, 21,619.74 and 9,697 is: 13,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,666.52 : 21,619.74 = 9,697 : x
  2. Step 2: Convert to fraction form
    15,666.52/21,619.74 = 9,697/x
  3. Step 3: Cross multiply
    15,666.52x = 21,619.74 × 9,697
  4. Step 4: Simplify right side
    15,666.52x = 209,646,618.78
  5. Step 5: Solve for x
    x = 209,646,618.78/15,666.52
  6. Step 6: Final answer
    x = 13,381.82

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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.