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Finding the Fourth Proportional to 17,255.79, 23,812.90 and 9,702.14

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Solution

The fourth proportional to 17,255.79, 23,812.90 and 9,702.14 is: 13,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,255.79 : 23,812.90 = 9,702.14 : x
  2. Step 2: Convert to fraction form
    17,255.79/23,812.90 = 9,702.14/x
  3. Step 3: Cross multiply
    17,255.79x = 23,812.90 × 9,702.14
  4. Step 4: Simplify right side
    17,255.79x = 231,035,946.29
  5. Step 5: Solve for x
    x = 231,035,946.29/17,255.79
  6. Step 6: Final answer
    x = 13,388.89

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1.5x scale

Why These Related Problems?

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