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Finding the Fourth Proportional to 18,898.50, 28,346.52 and 7,802.31

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Solution

The fourth proportional to 18,898.50, 28,346.52 and 7,802.31 is: 11,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,898.50 : 28,346.52 = 7,802.31 : x
  2. Step 2: Convert to fraction form
    18,898.50/28,346.52 = 7,802.31/x
  3. Step 3: Cross multiply
    18,898.50x = 28,346.52 × 7,802.31
  4. Step 4: Simplify right side
    18,898.50x = 221,168,336.46
  5. Step 5: Solve for x
    x = 221,168,336.46/18,898.50
  6. Step 6: Final answer
    x = 11,702.96

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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.