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Finding the Fourth Proportional to 24,854.33, 37,278.32 and 8,210.27

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Solution

The fourth proportional to 24,854.33, 37,278.32 and 8,210.27 is: 12,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.33 : 37,278.32 = 8,210.27 : x
  2. Step 2: Convert to fraction form
    24,854.33/37,278.32 = 8,210.27/x
  3. Step 3: Cross multiply
    24,854.33x = 37,278.32 × 8,210.27
  4. Step 4: Simplify right side
    24,854.33x = 306,064,844.90
  5. Step 5: Solve for x
    x = 306,064,844.90/24,854.33
  6. Step 6: Final answer
    x = 12,314.35

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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.