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Finding the Fourth Proportional to 14,726.80, 20,319.53 and 8,352

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Solution

The fourth proportional to 14,726.80, 20,319.53 and 8,352 is: 11,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,726.80 : 20,319.53 = 8,352 : x
  2. Step 2: Convert to fraction form
    14,726.80/20,319.53 = 8,352/x
  3. Step 3: Cross multiply
    14,726.80x = 20,319.53 × 8,352
  4. Step 4: Simplify right side
    14,726.80x = 169,708,714.56
  5. Step 5: Solve for x
    x = 169,708,714.56/14,726.80
  6. Step 6: Final answer
    x = 11,523.80

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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.