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Finding the Fourth Proportional to 25,720.59, 38,583.99 and 9,077.22

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Solution

The fourth proportional to 25,720.59, 38,583.99 and 9,077.22 is: 13,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,720.59 : 38,583.99 = 9,077.22 : x
  2. Step 2: Convert to fraction form
    25,720.59/38,583.99 = 9,077.22/x
  3. Step 3: Cross multiply
    25,720.59x = 38,583.99 × 9,077.22
  4. Step 4: Simplify right side
    25,720.59x = 350,235,365.71
  5. Step 5: Solve for x
    x = 350,235,365.71/25,720.59
  6. Step 6: Final answer
    x = 13,616.93

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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.