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Finding the Fourth Proportional to 20,929.19, 31,398.41 and 6,888.65

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Solution

The fourth proportional to 20,929.19, 31,398.41 and 6,888.65 is: 10,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,929.19 : 31,398.41 = 6,888.65 : x
  2. Step 2: Convert to fraction form
    20,929.19/31,398.41 = 6,888.65/x
  3. Step 3: Cross multiply
    20,929.19x = 31,398.41 × 6,888.65
  4. Step 4: Simplify right side
    20,929.19x = 216,292,752.76
  5. Step 5: Solve for x
    x = 216,292,752.76/20,929.19
  6. Step 6: Final answer
    x = 10,334.50

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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.