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Finding the Fourth Proportional to 26,565.92, 39,848.52 and 9,047.96

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Solution

The fourth proportional to 26,565.92, 39,848.52 and 9,047.96 is: 13,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,565.92 : 39,848.52 = 9,047.96 : x
  2. Step 2: Convert to fraction form
    26,565.92/39,848.52 = 9,047.96/x
  3. Step 3: Cross multiply
    26,565.92x = 39,848.52 × 9,047.96
  4. Step 4: Simplify right side
    26,565.92x = 360,547,815.02
  5. Step 5: Solve for x
    x = 360,547,815.02/26,565.92
  6. Step 6: Final answer
    x = 13,571.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.