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Finding the Fourth Proportional to 25,751.84, 38,645.06 and 9,111.80

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Solution

The fourth proportional to 25,751.84, 38,645.06 and 9,111.80 is: 13,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.84 : 38,645.06 = 9,111.80 : x
  2. Step 2: Convert to fraction form
    25,751.84/38,645.06 = 9,111.80/x
  3. Step 3: Cross multiply
    25,751.84x = 38,645.06 × 9,111.80
  4. Step 4: Simplify right side
    25,751.84x = 352,126,057.71
  5. Step 5: Solve for x
    x = 352,126,057.71/25,751.84
  6. Step 6: Final answer
    x = 13,673.82

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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.