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Finding the Fourth Proportional to 23,765.32, 32,792.71 and 13,154.93

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Solution

The fourth proportional to 23,765.32, 32,792.71 and 13,154.93 is: 18,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.32 : 32,792.71 = 13,154.93 : x
  2. Step 2: Convert to fraction form
    23,765.32/32,792.71 = 13,154.93/x
  3. Step 3: Cross multiply
    23,765.32x = 32,792.71 × 13,154.93
  4. Step 4: Simplify right side
    23,765.32x = 431,385,804.56
  5. Step 5: Solve for x
    x = 431,385,804.56/23,765.32
  6. Step 6: Final answer
    x = 18,151.90

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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.