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Finding the Fourth Proportional to 17,314.50, 25,962.51 and 8,986.13

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Solution

The fourth proportional to 17,314.50, 25,962.51 and 8,986.13 is: 13,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.50 : 25,962.51 = 8,986.13 : x
  2. Step 2: Convert to fraction form
    17,314.50/25,962.51 = 8,986.13/x
  3. Step 3: Cross multiply
    17,314.50x = 25,962.51 × 8,986.13
  4. Step 4: Simplify right side
    17,314.50x = 233,302,554.89
  5. Step 5: Solve for x
    x = 233,302,554.89/17,314.50
  6. Step 6: Final answer
    x = 13,474.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.