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Finding the Fourth Proportional to 14,742.78, 22,103.13 and 8,898.03

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Solution

The fourth proportional to 14,742.78, 22,103.13 and 8,898.03 is: 13,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.78 : 22,103.13 = 8,898.03 : x
  2. Step 2: Convert to fraction form
    14,742.78/22,103.13 = 8,898.03/x
  3. Step 3: Cross multiply
    14,742.78x = 22,103.13 × 8,898.03
  4. Step 4: Simplify right side
    14,742.78x = 196,674,313.83
  5. Step 5: Solve for x
    x = 196,674,313.83/14,742.78
  6. Step 6: Final answer
    x = 13,340.38

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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.