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Finding the Fourth Proportional to 23,436, 32,345.52 and 13,505.76

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Solution

The fourth proportional to 23,436, 32,345.52 and 13,505.76 is: 18,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,436 : 32,345.52 = 13,505.76 : x
  2. Step 2: Convert to fraction form
    23,436/32,345.52 = 13,505.76/x
  3. Step 3: Cross multiply
    23,436x = 32,345.52 × 13,505.76
  4. Step 4: Simplify right side
    23,436x = 436,850,830.20
  5. Step 5: Solve for x
    x = 436,850,830.20/23,436
  6. Step 6: Final answer
    x = 18,640.16

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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.