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Finding the Fourth Proportional to 14,695.04, 20,272 and 8,405.76

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Solution

The fourth proportional to 14,695.04, 20,272 and 8,405.76 is: 11,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,695.04 : 20,272 = 8,405.76 : x
  2. Step 2: Convert to fraction form
    14,695.04/20,272 = 8,405.76/x
  3. Step 3: Cross multiply
    14,695.04x = 20,272 × 8,405.76
  4. Step 4: Simplify right side
    14,695.04x = 170,401,566.72
  5. Step 5: Solve for x
    x = 170,401,566.72/14,695.04
  6. Step 6: Final answer
    x = 11,595.86

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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.