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Finding the Fourth Proportional to 14,698, 22,032.42 and 8,127.28

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Solution

The fourth proportional to 14,698, 22,032.42 and 8,127.28 is: 12,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698 : 22,032.42 = 8,127.28 : x
  2. Step 2: Convert to fraction form
    14,698/22,032.42 = 8,127.28/x
  3. Step 3: Cross multiply
    14,698x = 22,032.42 × 8,127.28
  4. Step 4: Simplify right side
    14,698x = 179,063,646.42
  5. Step 5: Solve for x
    x = 179,063,646.42/14,698
  6. Step 6: Final answer
    x = 12,182.86

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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.