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Finding the Fourth Proportional to 20,969.35, 31,458.65 and 9,124.99

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Solution

The fourth proportional to 20,969.35, 31,458.65 and 9,124.99 is: 13,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,969.35 : 31,458.65 = 9,124.99 : x
  2. Step 2: Convert to fraction form
    20,969.35/31,458.65 = 9,124.99/x
  3. Step 3: Cross multiply
    20,969.35x = 31,458.65 × 9,124.99
  4. Step 4: Simplify right side
    20,969.35x = 287,059,866.66
  5. Step 5: Solve for x
    x = 287,059,866.66/20,969.35
  6. Step 6: Final answer
    x = 13,689.50

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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.