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Finding the Fourth Proportional to 24,298.40, 36,447.60 and 9,507.80

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Solution

The fourth proportional to 24,298.40, 36,447.60 and 9,507.80 is: 14,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.40 : 36,447.60 = 9,507.80 : x
  2. Step 2: Convert to fraction form
    24,298.40/36,447.60 = 9,507.80/x
  3. Step 3: Cross multiply
    24,298.40x = 36,447.60 × 9,507.80
  4. Step 4: Simplify right side
    24,298.40x = 346,536,491.28
  5. Step 5: Solve for x
    x = 346,536,491.28/24,298.40
  6. Step 6: Final answer
    x = 14,261.70

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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.