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Finding the Fourth Proportional to 27,246.16, 40,862.76 and 7,524.32

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Solution

The fourth proportional to 27,246.16, 40,862.76 and 7,524.32 is: 11,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,246.16 : 40,862.76 = 7,524.32 : x
  2. Step 2: Convert to fraction form
    27,246.16/40,862.76 = 7,524.32/x
  3. Step 3: Cross multiply
    27,246.16x = 40,862.76 × 7,524.32
  4. Step 4: Simplify right side
    27,246.16x = 307,464,482.32
  5. Step 5: Solve for x
    x = 307,464,482.32/27,246.16
  6. Step 6: Final answer
    x = 11,284.69

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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.