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Finding the Fourth Proportional to 14,432.78, 19,919.93 and 8,464.43

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Solution

The fourth proportional to 14,432.78, 19,919.93 and 8,464.43 is: 11,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.78 : 19,919.93 = 8,464.43 : x
  2. Step 2: Convert to fraction form
    14,432.78/19,919.93 = 8,464.43/x
  3. Step 3: Cross multiply
    14,432.78x = 19,919.93 × 8,464.43
  4. Step 4: Simplify right side
    14,432.78x = 168,610,860.57
  5. Step 5: Solve for x
    x = 168,610,860.57/14,432.78
  6. Step 6: Final answer
    x = 11,682.49

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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.