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Finding the Fourth Proportional to 25,565.54, 38,353.54 and 9,769.46

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Solution

The fourth proportional to 25,565.54, 38,353.54 and 9,769.46 is: 14,656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.54 : 38,353.54 = 9,769.46 : x
  2. Step 2: Convert to fraction form
    25,565.54/38,353.54 = 9,769.46/x
  3. Step 3: Cross multiply
    25,565.54x = 38,353.54 × 9,769.46
  4. Step 4: Simplify right side
    25,565.54x = 374,693,374.89
  5. Step 5: Solve for x
    x = 374,693,374.89/25,565.54
  6. Step 6: Final answer
    x = 14,656.19

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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.