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Finding the Fourth Proportional to 24,681.20, 37,011 and 7,150.64

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Solution

The fourth proportional to 24,681.20, 37,011 and 7,150.64 is: 10,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,681.20 : 37,011 = 7,150.64 : x
  2. Step 2: Convert to fraction form
    24,681.20/37,011 = 7,150.64/x
  3. Step 3: Cross multiply
    24,681.20x = 37,011 × 7,150.64
  4. Step 4: Simplify right side
    24,681.20x = 264,652,337.04
  5. Step 5: Solve for x
    x = 264,652,337.04/24,681.20
  6. Step 6: Final answer
    x = 10,722.83

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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.