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Finding the Fourth Proportional to 23,499, 35,255.25 and 11,656.40

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Solution

The fourth proportional to 23,499, 35,255.25 and 11,656.40 is: 17,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499 : 35,255.25 = 11,656.40 : x
  2. Step 2: Convert to fraction form
    23,499/35,255.25 = 11,656.40/x
  3. Step 3: Cross multiply
    23,499x = 35,255.25 × 11,656.40
  4. Step 4: Simplify right side
    23,499x = 410,949,119.82
  5. Step 5: Solve for x
    x = 410,949,119.82/23,499
  6. Step 6: Final answer
    x = 17,487.94

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