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Finding the Fourth Proportional to 23,202.38, 32,019.35 and 12,592.01

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Solution

The fourth proportional to 23,202.38, 32,019.35 and 12,592.01 is: 17,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.38 : 32,019.35 = 12,592.01 : x
  2. Step 2: Convert to fraction form
    23,202.38/32,019.35 = 12,592.01/x
  3. Step 3: Cross multiply
    23,202.38x = 32,019.35 × 12,592.01
  4. Step 4: Simplify right side
    23,202.38x = 403,187,752.34
  5. Step 5: Solve for x
    x = 403,187,752.34/23,202.38
  6. Step 6: Final answer
    x = 17,377.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.