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Finding the Fourth Proportional to 12,294.75, 18,437.76 and 4,897.23

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Solution

The fourth proportional to 12,294.75, 18,437.76 and 4,897.23 is: 7,344.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.75 : 18,437.76 = 4,897.23 : x
  2. Step 2: Convert to fraction form
    12,294.75/18,437.76 = 4,897.23/x
  3. Step 3: Cross multiply
    12,294.75x = 18,437.76 × 4,897.23
  4. Step 4: Simplify right side
    12,294.75x = 90,293,951.40
  5. Step 5: Solve for x
    x = 90,293,951.40/12,294.75
  6. Step 6: Final answer
    x = 7,344.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.