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Finding the Fourth Proportional to 23,178.40, 31,990.62 and 13,752.16

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Solution

The fourth proportional to 23,178.40, 31,990.62 and 13,752.16 is: 18,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.40 : 31,990.62 = 13,752.16 : x
  2. Step 2: Convert to fraction form
    23,178.40/31,990.62 = 13,752.16/x
  3. Step 3: Cross multiply
    23,178.40x = 31,990.62 × 13,752.16
  4. Step 4: Simplify right side
    23,178.40x = 439,940,124.74
  5. Step 5: Solve for x
    x = 439,940,124.74/23,178.40
  6. Step 6: Final answer
    x = 18,980.61

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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.