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Finding the Fourth Proportional to 24,535, 33,862.71 and 14,462.83

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Solution

The fourth proportional to 24,535, 33,862.71 and 14,462.83 is: 19,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,535 : 33,862.71 = 14,462.83 : x
  2. Step 2: Convert to fraction form
    24,535/33,862.71 = 14,462.83/x
  3. Step 3: Cross multiply
    24,535x = 33,862.71 × 14,462.83
  4. Step 4: Simplify right side
    24,535x = 489,750,618.07
  5. Step 5: Solve for x
    x = 489,750,618.07/24,535
  6. Step 6: Final answer
    x = 19,961.30

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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.