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Finding the Fourth Proportional to 12,585.84, 17,377.47 and 8,817.36

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Solution

The fourth proportional to 12,585.84, 17,377.47 and 8,817.36 is: 12,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,585.84 : 17,377.47 = 8,817.36 : x
  2. Step 2: Convert to fraction form
    12,585.84/17,377.47 = 8,817.36/x
  3. Step 3: Cross multiply
    12,585.84x = 17,377.47 × 8,817.36
  4. Step 4: Simplify right side
    12,585.84x = 153,223,408.88
  5. Step 5: Solve for x
    x = 153,223,408.88/12,585.84
  6. Step 6: Final answer
    x = 12,174.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.