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Finding the Fourth Proportional to 12,233.80, 18,337.74 and 5,307.40

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Solution

The fourth proportional to 12,233.80, 18,337.74 and 5,307.40 is: 7,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.80 : 18,337.74 = 5,307.40 : x
  2. Step 2: Convert to fraction form
    12,233.80/18,337.74 = 5,307.40/x
  3. Step 3: Cross multiply
    12,233.80x = 18,337.74 × 5,307.40
  4. Step 4: Simplify right side
    12,233.80x = 97,325,721.28
  5. Step 5: Solve for x
    x = 97,325,721.28/12,233.80
  6. Step 6: Final answer
    x = 7,955.48

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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.