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Finding the Fourth Proportional to 15,857.72, 23,754.78 and 7,545.80

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Solution

The fourth proportional to 15,857.72, 23,754.78 and 7,545.80 is: 11,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.72 : 23,754.78 = 7,545.80 : x
  2. Step 2: Convert to fraction form
    15,857.72/23,754.78 = 7,545.80/x
  3. Step 3: Cross multiply
    15,857.72x = 23,754.78 × 7,545.80
  4. Step 4: Simplify right side
    15,857.72x = 179,248,818.92
  5. Step 5: Solve for x
    x = 179,248,818.92/15,857.72
  6. Step 6: Final answer
    x = 11,303.57

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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.