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Finding the Fourth Proportional to 25,842.48, 38,758.68 and 7,117.68

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Solution

The fourth proportional to 25,842.48, 38,758.68 and 7,117.68 is: 10,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.48 : 38,758.68 = 7,117.68 : x
  2. Step 2: Convert to fraction form
    25,842.48/38,758.68 = 7,117.68/x
  3. Step 3: Cross multiply
    25,842.48x = 38,758.68 × 7,117.68
  4. Step 4: Simplify right side
    25,842.48x = 275,871,881.46
  5. Step 5: Solve for x
    x = 275,871,881.46/25,842.48
  6. Step 6: Final answer
    x = 10,675.13

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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.