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Finding the Fourth Proportional to 14,972.72, 20,655.81 and 9,000.96

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Solution

The fourth proportional to 14,972.72, 20,655.81 and 9,000.96 is: 12,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.72 : 20,655.81 = 9,000.96 : x
  2. Step 2: Convert to fraction form
    14,972.72/20,655.81 = 9,000.96/x
  3. Step 3: Cross multiply
    14,972.72x = 20,655.81 × 9,000.96
  4. Step 4: Simplify right side
    14,972.72x = 185,922,042.12
  5. Step 5: Solve for x
    x = 185,922,042.12/14,972.72
  6. Step 6: Final answer
    x = 12,417.39

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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.