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Finding the Fourth Proportional to 23,856.31, 32,934.02 and 16,814.17

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Solution

The fourth proportional to 23,856.31, 32,934.02 and 16,814.17 is: 23,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856.31 : 32,934.02 = 16,814.17 : x
  2. Step 2: Convert to fraction form
    23,856.31/32,934.02 = 16,814.17/x
  3. Step 3: Cross multiply
    23,856.31x = 32,934.02 × 16,814.17
  4. Step 4: Simplify right side
    23,856.31x = 553,758,211.06
  5. Step 5: Solve for x
    x = 553,758,211.06/23,856.31
  6. Step 6: Final answer
    x = 23,212.23

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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.