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Finding the Fourth Proportional to 18,830.16, 28,244.34 and 7,734.06

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Solution

The fourth proportional to 18,830.16, 28,244.34 and 7,734.06 is: 11,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.16 : 28,244.34 = 7,734.06 : x
  2. Step 2: Convert to fraction form
    18,830.16/28,244.34 = 7,734.06/x
  3. Step 3: Cross multiply
    18,830.16x = 28,244.34 × 7,734.06
  4. Step 4: Simplify right side
    18,830.16x = 218,443,420.22
  5. Step 5: Solve for x
    x = 218,443,420.22/18,830.16
  6. Step 6: Final answer
    x = 11,600.72

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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.