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Finding the Fourth Proportional to 26,469, 39,707.10 and 9,827.64

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Solution

The fourth proportional to 26,469, 39,707.10 and 9,827.64 is: 14,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 39,707.10 = 9,827.64 : x
  2. Step 2: Convert to fraction form
    26,469/39,707.10 = 9,827.64/x
  3. Step 3: Cross multiply
    26,469x = 39,707.10 × 9,827.64
  4. Step 4: Simplify right side
    26,469x = 390,227,084.24
  5. Step 5: Solve for x
    x = 390,227,084.24/26,469
  6. Step 6: Final answer
    x = 14,742.80

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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.