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Finding the Fourth Proportional to 23,767.76, 32,798.10 and 13,156.76

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Solution

The fourth proportional to 23,767.76, 32,798.10 and 13,156.76 is: 18,155.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.76 : 32,798.10 = 13,156.76 : x
  2. Step 2: Convert to fraction form
    23,767.76/32,798.10 = 13,156.76/x
  3. Step 3: Cross multiply
    23,767.76x = 32,798.10 × 13,156.76
  4. Step 4: Simplify right side
    23,767.76x = 431,516,730.16
  5. Step 5: Solve for x
    x = 431,516,730.16/23,767.76
  6. Step 6: Final answer
    x = 18,155.55

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