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Finding the Fourth Proportional to 26,306.65, 39,465.12 and 9,666.82

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Solution

The fourth proportional to 26,306.65, 39,465.12 and 9,666.82 is: 14,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,306.65 : 39,465.12 = 9,666.82 : x
  2. Step 2: Convert to fraction form
    26,306.65/39,465.12 = 9,666.82/x
  3. Step 3: Cross multiply
    26,306.65x = 39,465.12 × 9,666.82
  4. Step 4: Simplify right side
    26,306.65x = 381,502,013.99
  5. Step 5: Solve for x
    x = 381,502,013.99/26,306.65
  6. Step 6: Final answer
    x = 14,502.12

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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.