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Finding the Fourth Proportional to 26,302.92, 39,430.92 and 9,659.16

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Solution

The fourth proportional to 26,302.92, 39,430.92 and 9,659.16 is: 14,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,302.92 : 39,430.92 = 9,659.16 : x
  2. Step 2: Convert to fraction form
    26,302.92/39,430.92 = 9,659.16/x
  3. Step 3: Cross multiply
    26,302.92x = 39,430.92 × 9,659.16
  4. Step 4: Simplify right side
    26,302.92x = 380,869,565.23
  5. Step 5: Solve for x
    x = 380,869,565.23/26,302.92
  6. Step 6: Final answer
    x = 14,480.12

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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.