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Finding the Fourth Proportional to 25,579.74, 38,329.80 and 9,776.14

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Solution

The fourth proportional to 25,579.74, 38,329.80 and 9,776.14 is: 14,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,579.74 : 38,329.80 = 9,776.14 : x
  2. Step 2: Convert to fraction form
    25,579.74/38,329.80 = 9,776.14/x
  3. Step 3: Cross multiply
    25,579.74x = 38,329.80 × 9,776.14
  4. Step 4: Simplify right side
    25,579.74x = 374,717,490.97
  5. Step 5: Solve for x
    x = 374,717,490.97/25,579.74
  6. Step 6: Final answer
    x = 14,649.00

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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.