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Finding the Fourth Proportional to 24,712.15, 37,070.50 and 8,072.27

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Solution

The fourth proportional to 24,712.15, 37,070.50 and 8,072.27 is: 12,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.15 : 37,070.50 = 8,072.27 : x
  2. Step 2: Convert to fraction form
    24,712.15/37,070.50 = 8,072.27/x
  3. Step 3: Cross multiply
    24,712.15x = 37,070.50 × 8,072.27
  4. Step 4: Simplify right side
    24,712.15x = 299,243,085.04
  5. Step 5: Solve for x
    x = 299,243,085.04/24,712.15
  6. Step 6: Final answer
    x = 12,109.15

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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.