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Finding the Fourth Proportional to 21,706.32, 32,557.02 and 14,731.14

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Solution

The fourth proportional to 21,706.32, 32,557.02 and 14,731.14 is: 22,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.32 : 32,557.02 = 14,731.14 : x
  2. Step 2: Convert to fraction form
    21,706.32/32,557.02 = 14,731.14/x
  3. Step 3: Cross multiply
    21,706.32x = 32,557.02 × 14,731.14
  4. Step 4: Simplify right side
    21,706.32x = 479,602,019.60
  5. Step 5: Solve for x
    x = 479,602,019.60/21,706.32
  6. Step 6: Final answer
    x = 22,095.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.