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Finding the Fourth Proportional to 13,470, 18,588.72 and 7,881.12

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Solution

The fourth proportional to 13,470, 18,588.72 and 7,881.12 is: 10,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470 : 18,588.72 = 7,881.12 : x
  2. Step 2: Convert to fraction form
    13,470/18,588.72 = 7,881.12/x
  3. Step 3: Cross multiply
    13,470x = 18,588.72 × 7,881.12
  4. Step 4: Simplify right side
    13,470x = 146,499,932.97
  5. Step 5: Solve for x
    x = 146,499,932.97/13,470
  6. Step 6: Final answer
    x = 10,876.02

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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.