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Finding the Fourth Proportional to 23,617, 32,591.46 and 13,006.63

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Solution

The fourth proportional to 23,617, 32,591.46 and 13,006.63 is: 17,949.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617 : 32,591.46 = 13,006.63 : x
  2. Step 2: Convert to fraction form
    23,617/32,591.46 = 13,006.63/x
  3. Step 3: Cross multiply
    23,617x = 32,591.46 × 13,006.63
  4. Step 4: Simplify right side
    23,617x = 423,905,061.38
  5. Step 5: Solve for x
    x = 423,905,061.38/23,617
  6. Step 6: Final answer
    x = 17,949.15

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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.