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Finding the Fourth Proportional to 12,914.46, 17,788.01 and 9,924.57

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Solution

The fourth proportional to 12,914.46, 17,788.01 and 9,924.57 is: 13,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.46 : 17,788.01 = 9,924.57 : x
  2. Step 2: Convert to fraction form
    12,914.46/17,788.01 = 9,924.57/x
  3. Step 3: Cross multiply
    12,914.46x = 17,788.01 × 9,924.57
  4. Step 4: Simplify right side
    12,914.46x = 176,538,300.78
  5. Step 5: Solve for x
    x = 176,538,300.78/12,914.46
  6. Step 6: Final answer
    x = 13,669.82

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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.