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Finding the Fourth Proportional to 21,517.35, 29,681.53 and 12,564.01

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Solution

The fourth proportional to 21,517.35, 29,681.53 and 12,564.01 is: 17,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.35 : 29,681.53 = 12,564.01 : x
  2. Step 2: Convert to fraction form
    21,517.35/29,681.53 = 12,564.01/x
  3. Step 3: Cross multiply
    21,517.35x = 29,681.53 × 12,564.01
  4. Step 4: Simplify right side
    21,517.35x = 372,919,039.74
  5. Step 5: Solve for x
    x = 372,919,039.74/21,517.35
  6. Step 6: Final answer
    x = 17,331.09

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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.