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Finding the Fourth Proportional to 24,714.60, 37,071.78 and 8,298.60

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Solution

The fourth proportional to 24,714.60, 37,071.78 and 8,298.60 is: 12,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.60 : 37,071.78 = 8,298.60 : x
  2. Step 2: Convert to fraction form
    24,714.60/37,071.78 = 8,298.60/x
  3. Step 3: Cross multiply
    24,714.60x = 37,071.78 × 8,298.60
  4. Step 4: Simplify right side
    24,714.60x = 307,643,873.51
  5. Step 5: Solve for x
    x = 307,643,873.51/24,714.60
  6. Step 6: Final answer
    x = 12,447.86

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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.