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Finding the Fourth Proportional to 21,147.64, 31,729.04 and 9,913.12

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Solution

The fourth proportional to 21,147.64, 31,729.04 and 9,913.12 is: 14,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.64 : 31,729.04 = 9,913.12 : x
  2. Step 2: Convert to fraction form
    21,147.64/31,729.04 = 9,913.12/x
  3. Step 3: Cross multiply
    21,147.64x = 31,729.04 × 9,913.12
  4. Step 4: Simplify right side
    21,147.64x = 314,533,781.00
  5. Step 5: Solve for x
    x = 314,533,781.00/21,147.64
  6. Step 6: Final answer
    x = 14,873.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.