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Finding the Fourth Proportional to 14,985.57, 20,682 and 9,020.46

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Solution

The fourth proportional to 14,985.57, 20,682 and 9,020.46 is: 12,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985.57 : 20,682 = 9,020.46 : x
  2. Step 2: Convert to fraction form
    14,985.57/20,682 = 9,020.46/x
  3. Step 3: Cross multiply
    14,985.57x = 20,682 × 9,020.46
  4. Step 4: Simplify right side
    14,985.57x = 186,561,153.72
  5. Step 5: Solve for x
    x = 186,561,153.72/14,985.57
  6. Step 6: Final answer
    x = 12,449.39

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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.