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Finding the Fourth Proportional to 23,298.30, 32,134.30 and 14,793.04

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Solution

The fourth proportional to 23,298.30, 32,134.30 and 14,793.04 is: 20,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,298.30 : 32,134.30 = 14,793.04 : x
  2. Step 2: Convert to fraction form
    23,298.30/32,134.30 = 14,793.04/x
  3. Step 3: Cross multiply
    23,298.30x = 32,134.30 × 14,793.04
  4. Step 4: Simplify right side
    23,298.30x = 475,363,985.27
  5. Step 5: Solve for x
    x = 475,363,985.27/23,298.30
  6. Step 6: Final answer
    x = 20,403.38

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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.