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Finding the Fourth Proportional to 18,902.10, 28,332.30 and 7,802.73

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Solution

The fourth proportional to 18,902.10, 28,332.30 and 7,802.73 is: 11,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902.10 : 28,332.30 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    18,902.10/28,332.30 = 7,802.73/x
  3. Step 3: Cross multiply
    18,902.10x = 28,332.30 × 7,802.73
  4. Step 4: Simplify right side
    18,902.10x = 221,069,287.18
  5. Step 5: Solve for x
    x = 221,069,287.18/18,902.10
  6. Step 6: Final answer
    x = 11,695.49

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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.