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Finding the Fourth Proportional to 21,502.08, 32,260.86 and 9,654.93

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Solution

The fourth proportional to 21,502.08, 32,260.86 and 9,654.93 is: 14,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,502.08 : 32,260.86 = 9,654.93 : x
  2. Step 2: Convert to fraction form
    21,502.08/32,260.86 = 9,654.93/x
  3. Step 3: Cross multiply
    21,502.08x = 32,260.86 × 9,654.93
  4. Step 4: Simplify right side
    21,502.08x = 311,476,345.04
  5. Step 5: Solve for x
    x = 311,476,345.04/21,502.08
  6. Step 6: Final answer
    x = 14,485.87

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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.