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Finding the Fourth Proportional to 26,509.96, 39,765 and 12,459.68

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Solution

The fourth proportional to 26,509.96, 39,765 and 12,459.68 is: 18,689.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.96 : 39,765 = 12,459.68 : x
  2. Step 2: Convert to fraction form
    26,509.96/39,765 = 12,459.68/x
  3. Step 3: Cross multiply
    26,509.96x = 39,765 × 12,459.68
  4. Step 4: Simplify right side
    26,509.96x = 495,459,175.20
  5. Step 5: Solve for x
    x = 495,459,175.20/26,509.96
  6. Step 6: Final answer
    x = 18,689.55

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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.