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Finding the Fourth Proportional to 10,701.08, 16,034.08 and 10,290.98

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Solution

The fourth proportional to 10,701.08, 16,034.08 and 10,290.98 is: 15,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.08 : 16,034.08 = 10,290.98 : x
  2. Step 2: Convert to fraction form
    10,701.08/16,034.08 = 10,290.98/x
  3. Step 3: Cross multiply
    10,701.08x = 16,034.08 × 10,290.98
  4. Step 4: Simplify right side
    10,701.08x = 165,006,396.60
  5. Step 5: Solve for x
    x = 165,006,396.60/10,701.08
  6. Step 6: Final answer
    x = 15,419.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.