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Finding the Fourth Proportional to 27,064.38, 40,596.60 and 9,530.16

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Solution

The fourth proportional to 27,064.38, 40,596.60 and 9,530.16 is: 14,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.38 : 40,596.60 = 9,530.16 : x
  2. Step 2: Convert to fraction form
    27,064.38/40,596.60 = 9,530.16/x
  3. Step 3: Cross multiply
    27,064.38x = 40,596.60 × 9,530.16
  4. Step 4: Simplify right side
    27,064.38x = 386,892,093.46
  5. Step 5: Solve for x
    x = 386,892,093.46/27,064.38
  6. Step 6: Final answer
    x = 14,295.25

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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.