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Finding the Fourth Proportional to 26,038.32, 39,062.84 and 10,457.16

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Solution

The fourth proportional to 26,038.32, 39,062.84 and 10,457.16 is: 15,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,038.32 : 39,062.84 = 10,457.16 : x
  2. Step 2: Convert to fraction form
    26,038.32/39,062.84 = 10,457.16/x
  3. Step 3: Cross multiply
    26,038.32x = 39,062.84 × 10,457.16
  4. Step 4: Simplify right side
    26,038.32x = 408,486,367.93
  5. Step 5: Solve for x
    x = 408,486,367.93/26,038.32
  6. Step 6: Final answer
    x = 15,687.89

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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.