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Finding the Fourth Proportional to 27,065.16, 40,597.74 and 9,530.88

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Solution

The fourth proportional to 27,065.16, 40,597.74 and 9,530.88 is: 14,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,065.16 : 40,597.74 = 9,530.88 : x
  2. Step 2: Convert to fraction form
    27,065.16/40,597.74 = 9,530.88/x
  3. Step 3: Cross multiply
    27,065.16x = 40,597.74 × 9,530.88
  4. Step 4: Simplify right side
    27,065.16x = 386,932,188.21
  5. Step 5: Solve for x
    x = 386,932,188.21/27,065.16
  6. Step 6: Final answer
    x = 14,296.32

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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.