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Finding the Fourth Proportional to 22,378.72, 30,881.93 and 12,307.13

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Solution

The fourth proportional to 22,378.72, 30,881.93 and 12,307.13 is: 16,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.72 : 30,881.93 = 12,307.13 : x
  2. Step 2: Convert to fraction form
    22,378.72/30,881.93 = 12,307.13/x
  3. Step 3: Cross multiply
    22,378.72x = 30,881.93 × 12,307.13
  4. Step 4: Simplify right side
    22,378.72x = 380,067,850.10
  5. Step 5: Solve for x
    x = 380,067,850.10/22,378.72
  6. Step 6: Final answer
    x = 16,983.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.