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Finding the Fourth Proportional to 17,314.53, 23,894.06 and 9,862.53

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Solution

The fourth proportional to 17,314.53, 23,894.06 and 9,862.53 is: 13,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.53 : 23,894.06 = 9,862.53 : x
  2. Step 2: Convert to fraction form
    17,314.53/23,894.06 = 9,862.53/x
  3. Step 3: Cross multiply
    17,314.53x = 23,894.06 × 9,862.53
  4. Step 4: Simplify right side
    17,314.53x = 235,655,883.57
  5. Step 5: Solve for x
    x = 235,655,883.57/17,314.53
  6. Step 6: Final answer
    x = 13,610.30

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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.