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Finding the Fourth Proportional to 12,253.14, 18,368.70 and 4,456.50

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Solution

The fourth proportional to 12,253.14, 18,368.70 and 4,456.50 is: 6,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.14 : 18,368.70 = 4,456.50 : x
  2. Step 2: Convert to fraction form
    12,253.14/18,368.70 = 4,456.50/x
  3. Step 3: Cross multiply
    12,253.14x = 18,368.70 × 4,456.50
  4. Step 4: Simplify right side
    12,253.14x = 81,860,111.55
  5. Step 5: Solve for x
    x = 81,860,111.55/12,253.14
  6. Step 6: Final answer
    x = 6,680.75

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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.