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Finding the Fourth Proportional to 24,642.25, 34,006.31 and 13,464.25

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Solution

The fourth proportional to 24,642.25, 34,006.31 and 13,464.25 is: 18,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.25 : 34,006.31 = 13,464.25 : x
  2. Step 2: Convert to fraction form
    24,642.25/34,006.31 = 13,464.25/x
  3. Step 3: Cross multiply
    24,642.25x = 34,006.31 × 13,464.25
  4. Step 4: Simplify right side
    24,642.25x = 457,869,392.10
  5. Step 5: Solve for x
    x = 457,869,392.10/24,642.25
  6. Step 6: Final answer
    x = 18,580.67

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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.