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Finding the Fourth Proportional to 15,681.59, 21,647.42 and 10,023.74

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Solution

The fourth proportional to 15,681.59, 21,647.42 and 10,023.74 is: 13,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.59 : 21,647.42 = 10,023.74 : x
  2. Step 2: Convert to fraction form
    15,681.59/21,647.42 = 10,023.74/x
  3. Step 3: Cross multiply
    15,681.59x = 21,647.42 × 10,023.74
  4. Step 4: Simplify right side
    15,681.59x = 216,988,109.75
  5. Step 5: Solve for x
    x = 216,988,109.75/15,681.59
  6. Step 6: Final answer
    x = 13,837.12

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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.