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Finding the Fourth Proportional to 14,744.58, 22,123.95 and 9,196.50

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Solution

The fourth proportional to 14,744.58, 22,123.95 and 9,196.50 is: 13,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.58 : 22,123.95 = 9,196.50 : x
  2. Step 2: Convert to fraction form
    14,744.58/22,123.95 = 9,196.50/x
  3. Step 3: Cross multiply
    14,744.58x = 22,123.95 × 9,196.50
  4. Step 4: Simplify right side
    14,744.58x = 203,462,906.18
  5. Step 5: Solve for x
    x = 203,462,906.18/14,744.58
  6. Step 6: Final answer
    x = 13,799.17

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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.