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Finding the Fourth Proportional to 23,305.92, 32,158.56 and 13,368

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Solution

The fourth proportional to 23,305.92, 32,158.56 and 13,368 is: 18,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.92 : 32,158.56 = 13,368 : x
  2. Step 2: Convert to fraction form
    23,305.92/32,158.56 = 13,368/x
  3. Step 3: Cross multiply
    23,305.92x = 32,158.56 × 13,368
  4. Step 4: Simplify right side
    23,305.92x = 429,895,630.08
  5. Step 5: Solve for x
    x = 429,895,630.08/23,305.92
  6. Step 6: Final answer
    x = 18,445.77

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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.