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Finding the Fourth Proportional to 27,046.32, 40,574.28 and 12,254.64

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Solution

The fourth proportional to 27,046.32, 40,574.28 and 12,254.64 is: 18,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.32 : 40,574.28 = 12,254.64 : x
  2. Step 2: Convert to fraction form
    27,046.32/40,574.28 = 12,254.64/x
  3. Step 3: Cross multiply
    27,046.32x = 40,574.28 × 12,254.64
  4. Step 4: Simplify right side
    27,046.32x = 497,223,194.66
  5. Step 5: Solve for x
    x = 497,223,194.66/27,046.32
  6. Step 6: Final answer
    x = 18,384.13

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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.