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Finding the Fourth Proportional to 21,531.72, 32,312.34 and 8,384.16

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Solution

The fourth proportional to 21,531.72, 32,312.34 and 8,384.16 is: 12,581.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531.72 : 32,312.34 = 8,384.16 : x
  2. Step 2: Convert to fraction form
    21,531.72/32,312.34 = 8,384.16/x
  3. Step 3: Cross multiply
    21,531.72x = 32,312.34 × 8,384.16
  4. Step 4: Simplify right side
    21,531.72x = 270,911,828.53
  5. Step 5: Solve for x
    x = 270,911,828.53/21,531.72
  6. Step 6: Final answer
    x = 12,581.99

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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.