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Finding the Fourth Proportional to 14,969.08, 22,458.48 and 7,178.50

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Solution

The fourth proportional to 14,969.08, 22,458.48 and 7,178.50 is: 10,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.08 : 22,458.48 = 7,178.50 : x
  2. Step 2: Convert to fraction form
    14,969.08/22,458.48 = 7,178.50/x
  3. Step 3: Cross multiply
    14,969.08x = 22,458.48 × 7,178.50
  4. Step 4: Simplify right side
    14,969.08x = 161,218,198.68
  5. Step 5: Solve for x
    x = 161,218,198.68/14,969.08
  6. Step 6: Final answer
    x = 10,770.08

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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.