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Finding the Fourth Proportional to 25,842.29, 38,763.61 and 7,123.34

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Solution

The fourth proportional to 25,842.29, 38,763.61 and 7,123.34 is: 10,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.29 : 38,763.61 = 7,123.34 : x
  2. Step 2: Convert to fraction form
    25,842.29/38,763.61 = 7,123.34/x
  3. Step 3: Cross multiply
    25,842.29x = 38,763.61 × 7,123.34
  4. Step 4: Simplify right side
    25,842.29x = 276,126,492.83
  5. Step 5: Solve for x
    x = 276,126,492.83/25,842.29
  6. Step 6: Final answer
    x = 10,685.06

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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.