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Finding the Fourth Proportional to 14,524.96, 21,752.88 and 8,356

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Solution

The fourth proportional to 14,524.96, 21,752.88 and 8,356 is: 12,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,524.96 : 21,752.88 = 8,356 : x
  2. Step 2: Convert to fraction form
    14,524.96/21,752.88 = 8,356/x
  3. Step 3: Cross multiply
    14,524.96x = 21,752.88 × 8,356
  4. Step 4: Simplify right side
    14,524.96x = 181,767,065.28
  5. Step 5: Solve for x
    x = 181,767,065.28/14,524.96
  6. Step 6: Final answer
    x = 12,514.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.