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Finding the Fourth Proportional to 24,782.68, 37,184.92 and 10,020.40

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Solution

The fourth proportional to 24,782.68, 37,184.92 and 10,020.40 is: 15,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.68 : 37,184.92 = 10,020.40 : x
  2. Step 2: Convert to fraction form
    24,782.68/37,184.92 = 10,020.40/x
  3. Step 3: Cross multiply
    24,782.68x = 37,184.92 × 10,020.40
  4. Step 4: Simplify right side
    24,782.68x = 372,607,772.37
  5. Step 5: Solve for x
    x = 372,607,772.37/24,782.68
  6. Step 6: Final answer
    x = 15,035.01

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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.