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Finding the Fourth Proportional to 24,307.20, 36,460.80 and 13,809.60

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Solution

The fourth proportional to 24,307.20, 36,460.80 and 13,809.60 is: 20,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.20 : 36,460.80 = 13,809.60 : x
  2. Step 2: Convert to fraction form
    24,307.20/36,460.80 = 13,809.60/x
  3. Step 3: Cross multiply
    24,307.20x = 36,460.80 × 13,809.60
  4. Step 4: Simplify right side
    24,307.20x = 503,509,063.68
  5. Step 5: Solve for x
    x = 503,509,063.68/24,307.20
  6. Step 6: Final answer
    x = 20,714.40

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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.