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Finding the Fourth Proportional to 27,244.64, 40,829.16 and 12,417.32

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Solution

The fourth proportional to 27,244.64, 40,829.16 and 12,417.32 is: 18,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,244.64 : 40,829.16 = 12,417.32 : x
  2. Step 2: Convert to fraction form
    27,244.64/40,829.16 = 12,417.32/x
  3. Step 3: Cross multiply
    27,244.64x = 40,829.16 × 12,417.32
  4. Step 4: Simplify right side
    27,244.64x = 506,988,745.05
  5. Step 5: Solve for x
    x = 506,988,745.05/27,244.64
  6. Step 6: Final answer
    x = 18,608.75

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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.