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Finding the Fourth Proportional to 25,703.60, 38,555.40 and 9,082.40

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Solution

The fourth proportional to 25,703.60, 38,555.40 and 9,082.40 is: 13,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,703.60 : 38,555.40 = 9,082.40 : x
  2. Step 2: Convert to fraction form
    25,703.60/38,555.40 = 9,082.40/x
  3. Step 3: Cross multiply
    25,703.60x = 38,555.40 × 9,082.40
  4. Step 4: Simplify right side
    25,703.60x = 350,175,564.96
  5. Step 5: Solve for x
    x = 350,175,564.96/25,703.60
  6. Step 6: Final answer
    x = 13,623.60

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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.