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Finding the Fourth Proportional to 26,307.28, 39,475.86 and 9,665.16

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Solution

The fourth proportional to 26,307.28, 39,475.86 and 9,665.16 is: 14,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,307.28 : 39,475.86 = 9,665.16 : x
  2. Step 2: Convert to fraction form
    26,307.28/39,475.86 = 9,665.16/x
  3. Step 3: Cross multiply
    26,307.28x = 39,475.86 × 9,665.16
  4. Step 4: Simplify right side
    26,307.28x = 381,540,503.04
  5. Step 5: Solve for x
    x = 381,540,503.04/26,307.28
  6. Step 6: Final answer
    x = 14,503.23

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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.