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Finding the Fourth Proportional to 24,821.25, 34,253.87 and 13,643.25

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Solution

The fourth proportional to 24,821.25, 34,253.87 and 13,643.25 is: 18,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.25 : 34,253.87 = 13,643.25 : x
  2. Step 2: Convert to fraction form
    24,821.25/34,253.87 = 13,643.25/x
  3. Step 3: Cross multiply
    24,821.25x = 34,253.87 × 13,643.25
  4. Step 4: Simplify right side
    24,821.25x = 467,334,043.66
  5. Step 5: Solve for x
    x = 467,334,043.66/24,821.25
  6. Step 6: Final answer
    x = 18,827.98

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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.