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Finding the Fourth Proportional to 23,656, 32,644.57 and 13,045.63

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Solution

The fourth proportional to 23,656, 32,644.57 and 13,045.63 is: 18,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656 : 32,644.57 = 13,045.63 : x
  2. Step 2: Convert to fraction form
    23,656/32,644.57 = 13,045.63/x
  3. Step 3: Cross multiply
    23,656x = 32,644.57 × 13,045.63
  4. Step 4: Simplify right side
    23,656x = 425,868,981.73
  5. Step 5: Solve for x
    x = 425,868,981.73/23,656
  6. Step 6: Final answer
    x = 18,002.58

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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.