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Finding the Fourth Proportional to 16,323.66, 22,531.78 and 9,254.80

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Solution

The fourth proportional to 16,323.66, 22,531.78 and 9,254.80 is: 12,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.66 : 22,531.78 = 9,254.80 : x
  2. Step 2: Convert to fraction form
    16,323.66/22,531.78 = 9,254.80/x
  3. Step 3: Cross multiply
    16,323.66x = 22,531.78 × 9,254.80
  4. Step 4: Simplify right side
    16,323.66x = 208,527,117.54
  5. Step 5: Solve for x
    x = 208,527,117.54/16,323.66
  6. Step 6: Final answer
    x = 12,774.53

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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.