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Finding the Fourth Proportional to 10,357.60, 15,536.40 and 10,084.23

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Solution

The fourth proportional to 10,357.60, 15,536.40 and 10,084.23 is: 15,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.60 : 15,536.40 = 10,084.23 : x
  2. Step 2: Convert to fraction form
    10,357.60/15,536.40 = 10,084.23/x
  3. Step 3: Cross multiply
    10,357.60x = 15,536.40 × 10,084.23
  4. Step 4: Simplify right side
    10,357.60x = 156,672,630.97
  5. Step 5: Solve for x
    x = 156,672,630.97/10,357.60
  6. Step 6: Final answer
    x = 15,126.35

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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.