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Finding the Fourth Proportional to 14,648.32, 20,214.96 and 8,024.32

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Solution

The fourth proportional to 14,648.32, 20,214.96 and 8,024.32 is: 11,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.32 : 20,214.96 = 8,024.32 : x
  2. Step 2: Convert to fraction form
    14,648.32/20,214.96 = 8,024.32/x
  3. Step 3: Cross multiply
    14,648.32x = 20,214.96 × 8,024.32
  4. Step 4: Simplify right side
    14,648.32x = 162,211,307.83
  5. Step 5: Solve for x
    x = 162,211,307.83/14,648.32
  6. Step 6: Final answer
    x = 11,073.71

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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.