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Finding the Fourth Proportional to 24,143.60, 36,204.60 and 9,347.60

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Solution

The fourth proportional to 24,143.60, 36,204.60 and 9,347.60 is: 14,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.60 : 36,204.60 = 9,347.60 : x
  2. Step 2: Convert to fraction form
    24,143.60/36,204.60 = 9,347.60/x
  3. Step 3: Cross multiply
    24,143.60x = 36,204.60 × 9,347.60
  4. Step 4: Simplify right side
    24,143.60x = 338,426,118.96
  5. Step 5: Solve for x
    x = 338,426,118.96/24,143.60
  6. Step 6: Final answer
    x = 14,017.22

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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.