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Finding the Fourth Proportional to 10,974.58, 15,147.21 and 10,088.98

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Solution

The fourth proportional to 10,974.58, 15,147.21 and 10,088.98 is: 13,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.58 : 15,147.21 = 10,088.98 : x
  2. Step 2: Convert to fraction form
    10,974.58/15,147.21 = 10,088.98/x
  3. Step 3: Cross multiply
    10,974.58x = 15,147.21 × 10,088.98
  4. Step 4: Simplify right side
    10,974.58x = 152,819,898.75
  5. Step 5: Solve for x
    x = 152,819,898.75/10,974.58
  6. Step 6: Final answer
    x = 13,924.90

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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.