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Finding the Fourth Proportional to 14,924, 20,595.20 and 8,300

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Solution

The fourth proportional to 14,924, 20,595.20 and 8,300 is: 11,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,924 : 20,595.20 = 8,300 : x
  2. Step 2: Convert to fraction form
    14,924/20,595.20 = 8,300/x
  3. Step 3: Cross multiply
    14,924x = 20,595.20 × 8,300
  4. Step 4: Simplify right side
    14,924x = 170,940,160
  5. Step 5: Solve for x
    x = 170,940,160/14,924
  6. Step 6: Final answer
    x = 11,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.