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Finding the Fourth Proportional to 24,678.40, 37,023.36 and 7,148.56

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Solution

The fourth proportional to 24,678.40, 37,023.36 and 7,148.56 is: 10,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.40 : 37,023.36 = 7,148.56 : x
  2. Step 2: Convert to fraction form
    24,678.40/37,023.36 = 7,148.56/x
  3. Step 3: Cross multiply
    24,678.40x = 37,023.36 × 7,148.56
  4. Step 4: Simplify right side
    24,678.40x = 264,663,710.36
  5. Step 5: Solve for x
    x = 264,663,710.36/24,678.40
  6. Step 6: Final answer
    x = 10,724.51

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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.