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Finding the Fourth Proportional to 21,710.65, 32,565.96 and 6,128.27

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Solution

The fourth proportional to 21,710.65, 32,565.96 and 6,128.27 is: 9,192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.65 : 32,565.96 = 6,128.27 : x
  2. Step 2: Convert to fraction form
    21,710.65/32,565.96 = 6,128.27/x
  3. Step 3: Cross multiply
    21,710.65x = 32,565.96 × 6,128.27
  4. Step 4: Simplify right side
    21,710.65x = 199,572,995.69
  5. Step 5: Solve for x
    x = 199,572,995.69/21,710.65
  6. Step 6: Final answer
    x = 9,192.40

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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.