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Finding the Fourth Proportional to 25,988.84, 38,994.78 and 9,569

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Solution

The fourth proportional to 25,988.84, 38,994.78 and 9,569 is: 14,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,988.84 : 38,994.78 = 9,569 : x
  2. Step 2: Convert to fraction form
    25,988.84/38,994.78 = 9,569/x
  3. Step 3: Cross multiply
    25,988.84x = 38,994.78 × 9,569
  4. Step 4: Simplify right side
    25,988.84x = 373,141,049.82
  5. Step 5: Solve for x
    x = 373,141,049.82/25,988.84
  6. Step 6: Final answer
    x = 14,357.74

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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.