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Finding the Fourth Proportional to 17,314.08, 23,894.64 and 9,862.08

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Solution

The fourth proportional to 17,314.08, 23,894.64 and 9,862.08 is: 13,610.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.08 : 23,894.64 = 9,862.08 : x
  2. Step 2: Convert to fraction form
    17,314.08/23,894.64 = 9,862.08/x
  3. Step 3: Cross multiply
    17,314.08x = 23,894.64 × 9,862.08
  4. Step 4: Simplify right side
    17,314.08x = 235,650,851.25
  5. Step 5: Solve for x
    x = 235,650,851.25/17,314.08
  6. Step 6: Final answer
    x = 13,610.36

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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.