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Finding the Fourth Proportional to 14,776.46, 22,154.97 and 6,009.02

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Solution

The fourth proportional to 14,776.46, 22,154.97 and 6,009.02 is: 9,009.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.46 : 22,154.97 = 6,009.02 : x
  2. Step 2: Convert to fraction form
    14,776.46/22,154.97 = 6,009.02/x
  3. Step 3: Cross multiply
    14,776.46x = 22,154.97 × 6,009.02
  4. Step 4: Simplify right side
    14,776.46x = 133,129,657.83
  5. Step 5: Solve for x
    x = 133,129,657.83/14,776.46
  6. Step 6: Final answer
    x = 9,009.58

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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.