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Finding the Fourth Proportional to 24,714.64, 37,066.16 and 8,070.40

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Solution

The fourth proportional to 24,714.64, 37,066.16 and 8,070.40 is: 12,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.64 : 37,066.16 = 8,070.40 : x
  2. Step 2: Convert to fraction form
    24,714.64/37,066.16 = 8,070.40/x
  3. Step 3: Cross multiply
    24,714.64x = 37,066.16 × 8,070.40
  4. Step 4: Simplify right side
    24,714.64x = 299,138,737.66
  5. Step 5: Solve for x
    x = 299,138,737.66/24,714.64
  6. Step 6: Final answer
    x = 12,103.71

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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.