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Finding the Fourth Proportional to 24,433.60, 36,628.80 and 14,562.40

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Solution

The fourth proportional to 24,433.60, 36,628.80 and 14,562.40 is: 21,830.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,433.60 : 36,628.80 = 14,562.40 : x
  2. Step 2: Convert to fraction form
    24,433.60/36,628.80 = 14,562.40/x
  3. Step 3: Cross multiply
    24,433.60x = 36,628.80 × 14,562.40
  4. Step 4: Simplify right side
    24,433.60x = 533,403,237.12
  5. Step 5: Solve for x
    x = 533,403,237.12/24,433.60
  6. Step 6: Final answer
    x = 21,830.73

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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.