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Finding the Fourth Proportional to 23,792.60, 32,830.64 and 13,180.88

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Solution

The fourth proportional to 23,792.60, 32,830.64 and 13,180.88 is: 18,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.60 : 32,830.64 = 13,180.88 : x
  2. Step 2: Convert to fraction form
    23,792.60/32,830.64 = 13,180.88/x
  3. Step 3: Cross multiply
    23,792.60x = 32,830.64 × 13,180.88
  4. Step 4: Simplify right side
    23,792.60x = 432,736,726.16
  5. Step 5: Solve for x
    x = 432,736,726.16/23,792.60
  6. Step 6: Final answer
    x = 18,187.87

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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.