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Finding the Fourth Proportional to 16,506, 22,778.40 and 9,054

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Solution

The fourth proportional to 16,506, 22,778.40 and 9,054 is: 12,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506 : 22,778.40 = 9,054 : x
  2. Step 2: Convert to fraction form
    16,506/22,778.40 = 9,054/x
  3. Step 3: Cross multiply
    16,506x = 22,778.40 × 9,054
  4. Step 4: Simplify right side
    16,506x = 206,235,633.60
  5. Step 5: Solve for x
    x = 206,235,633.60/16,506
  6. Step 6: Final answer
    x = 12,494.59

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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.