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Finding the Fourth Proportional to 24,822.68, 34,255.92 and 13,644.68

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Solution

The fourth proportional to 24,822.68, 34,255.92 and 13,644.68 is: 18,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.68 : 34,255.92 = 13,644.68 : x
  2. Step 2: Convert to fraction form
    24,822.68/34,255.92 = 13,644.68/x
  3. Step 3: Cross multiply
    24,822.68x = 34,255.92 × 13,644.68
  4. Step 4: Simplify right side
    24,822.68x = 467,411,066.51
  5. Step 5: Solve for x
    x = 467,411,066.51/24,822.68
  6. Step 6: Final answer
    x = 18,830.00

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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.