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Finding the Fourth Proportional to 24,697.80, 37,046.70 and 9,113.40

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Solution

The fourth proportional to 24,697.80, 37,046.70 and 9,113.40 is: 13,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.80 : 37,046.70 = 9,113.40 : x
  2. Step 2: Convert to fraction form
    24,697.80/37,046.70 = 9,113.40/x
  3. Step 3: Cross multiply
    24,697.80x = 37,046.70 × 9,113.40
  4. Step 4: Simplify right side
    24,697.80x = 337,621,395.78
  5. Step 5: Solve for x
    x = 337,621,395.78/24,697.80
  6. Step 6: Final answer
    x = 13,670.10

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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.