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Finding the Fourth Proportional to 24,317.60, 36,454.80 and 14,446.40

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Solution

The fourth proportional to 24,317.60, 36,454.80 and 14,446.40 is: 21,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.60 : 36,454.80 = 14,446.40 : x
  2. Step 2: Convert to fraction form
    24,317.60/36,454.80 = 14,446.40/x
  3. Step 3: Cross multiply
    24,317.60x = 36,454.80 × 14,446.40
  4. Step 4: Simplify right side
    24,317.60x = 526,640,622.72
  5. Step 5: Solve for x
    x = 526,640,622.72/24,317.60
  6. Step 6: Final answer
    x = 21,656.77

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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.