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Finding the Fourth Proportional to 21,565.16, 32,328.51 and 8,414.48

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Solution

The fourth proportional to 21,565.16, 32,328.51 and 8,414.48 is: 12,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.16 : 32,328.51 = 8,414.48 : x
  2. Step 2: Convert to fraction form
    21,565.16/32,328.51 = 8,414.48/x
  3. Step 3: Cross multiply
    21,565.16x = 32,328.51 × 8,414.48
  4. Step 4: Simplify right side
    21,565.16x = 272,027,407.63
  5. Step 5: Solve for x
    x = 272,027,407.63/21,565.16
  6. Step 6: Final answer
    x = 12,614.21

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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.