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Finding the Fourth Proportional to 24,709.76, 37,068.26 and 7,177.31

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Solution

The fourth proportional to 24,709.76, 37,068.26 and 7,177.31 is: 10,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.76 : 37,068.26 = 7,177.31 : x
  2. Step 2: Convert to fraction form
    24,709.76/37,068.26 = 7,177.31/x
  3. Step 3: Cross multiply
    24,709.76x = 37,068.26 × 7,177.31
  4. Step 4: Simplify right side
    24,709.76x = 266,050,357.29
  5. Step 5: Solve for x
    x = 266,050,357.29/24,709.76
  6. Step 6: Final answer
    x = 10,767.02

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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.