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Finding the Fourth Proportional to 12,254.34, 18,381.52 and 3,020.34

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Solution

The fourth proportional to 12,254.34, 18,381.52 and 3,020.34 is: 4,530.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.34 : 18,381.52 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    12,254.34/18,381.52 = 3,020.34/x
  3. Step 3: Cross multiply
    12,254.34x = 18,381.52 × 3,020.34
  4. Step 4: Simplify right side
    12,254.34x = 55,518,501.50
  5. Step 5: Solve for x
    x = 55,518,501.50/12,254.34
  6. Step 6: Final answer
    x = 4,530.52

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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.