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Finding the Fourth Proportional to 21,332.64, 32,016.06 and 9,646.86

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Solution

The fourth proportional to 21,332.64, 32,016.06 and 9,646.86 is: 14,478.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.64 : 32,016.06 = 9,646.86 : x
  2. Step 2: Convert to fraction form
    21,332.64/32,016.06 = 9,646.86/x
  3. Step 3: Cross multiply
    21,332.64x = 32,016.06 × 9,646.86
  4. Step 4: Simplify right side
    21,332.64x = 308,854,448.57
  5. Step 5: Solve for x
    x = 308,854,448.57/21,332.64
  6. Step 6: Final answer
    x = 14,478.02

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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.