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Finding the Fourth Proportional to 26,324.40, 39,502.20 and 9,696.12

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Solution

The fourth proportional to 26,324.40, 39,502.20 and 9,696.12 is: 14,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324.40 : 39,502.20 = 9,696.12 : x
  2. Step 2: Convert to fraction form
    26,324.40/39,502.20 = 9,696.12/x
  3. Step 3: Cross multiply
    26,324.40x = 39,502.20 × 9,696.12
  4. Step 4: Simplify right side
    26,324.40x = 383,018,071.46
  5. Step 5: Solve for x
    x = 383,018,071.46/26,324.40
  6. Step 6: Final answer
    x = 14,549.93

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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.