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Finding the Fourth Proportional to 14,282.34, 19,695.45 and 8,689.86

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Solution

The fourth proportional to 14,282.34, 19,695.45 and 8,689.86 is: 11,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.34 : 19,695.45 = 8,689.86 : x
  2. Step 2: Convert to fraction form
    14,282.34/19,695.45 = 8,689.86/x
  3. Step 3: Cross multiply
    14,282.34x = 19,695.45 × 8,689.86
  4. Step 4: Simplify right side
    14,282.34x = 171,150,703.14
  5. Step 5: Solve for x
    x = 171,150,703.14/14,282.34
  6. Step 6: Final answer
    x = 11,983.38

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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.