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Finding the Fourth Proportional to 24,642.84, 34,006.86 and 13,464.84

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Solution

The fourth proportional to 24,642.84, 34,006.86 and 13,464.84 is: 18,581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.84 : 34,006.86 = 13,464.84 : x
  2. Step 2: Convert to fraction form
    24,642.84/34,006.86 = 13,464.84/x
  3. Step 3: Cross multiply
    24,642.84x = 34,006.86 × 13,464.84
  4. Step 4: Simplify right side
    24,642.84x = 457,896,928.80
  5. Step 5: Solve for x
    x = 457,896,928.80/24,642.84
  6. Step 6: Final answer
    x = 18,581.34

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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.