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Finding the Fourth Proportional to 21,423.65, 32,142.03 and 9,587.38

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Solution

The fourth proportional to 21,423.65, 32,142.03 and 9,587.38 is: 14,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.65 : 32,142.03 = 9,587.38 : x
  2. Step 2: Convert to fraction form
    21,423.65/32,142.03 = 9,587.38/x
  3. Step 3: Cross multiply
    21,423.65x = 32,142.03 × 9,587.38
  4. Step 4: Simplify right side
    21,423.65x = 308,157,775.23
  5. Step 5: Solve for x
    x = 308,157,775.23/21,423.65
  6. Step 6: Final answer
    x = 14,384.00

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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.