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Finding the Fourth Proportional to 25,572.56, 38,364.04 and 9,776.48

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Solution

The fourth proportional to 25,572.56, 38,364.04 and 9,776.48 is: 14,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.56 : 38,364.04 = 9,776.48 : x
  2. Step 2: Convert to fraction form
    25,572.56/38,364.04 = 9,776.48/x
  3. Step 3: Cross multiply
    25,572.56x = 38,364.04 × 9,776.48
  4. Step 4: Simplify right side
    25,572.56x = 375,065,269.78
  5. Step 5: Solve for x
    x = 375,065,269.78/25,572.56
  6. Step 6: Final answer
    x = 14,666.71

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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.