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Finding the Fourth Proportional to 27,318.16, 40,970.76 and 7,597.36

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Solution

The fourth proportional to 27,318.16, 40,970.76 and 7,597.36 is: 11,394.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318.16 : 40,970.76 = 7,597.36 : x
  2. Step 2: Convert to fraction form
    27,318.16/40,970.76 = 7,597.36/x
  3. Step 3: Cross multiply
    27,318.16x = 40,970.76 × 7,597.36
  4. Step 4: Simplify right side
    27,318.16x = 311,269,613.19
  5. Step 5: Solve for x
    x = 311,269,613.19/27,318.16
  6. Step 6: Final answer
    x = 11,394.24

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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.