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Finding the Fourth Proportional to 24,782.41, 37,184.55 and 10,020.16

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Solution

The fourth proportional to 24,782.41, 37,184.55 and 10,020.16 is: 15,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.41 : 37,184.55 = 10,020.16 : x
  2. Step 2: Convert to fraction form
    24,782.41/37,184.55 = 10,020.16/x
  3. Step 3: Cross multiply
    24,782.41x = 37,184.55 × 10,020.16
  4. Step 4: Simplify right side
    24,782.41x = 372,595,140.53
  5. Step 5: Solve for x
    x = 372,595,140.53/24,782.41
  6. Step 6: Final answer
    x = 15,034.66

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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.