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Finding the Fourth Proportional to 22,369.36, 30,870.32 and 12,298.22

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Solution

The fourth proportional to 22,369.36, 30,870.32 and 12,298.22 is: 16,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,369.36 : 30,870.32 = 12,298.22 : x
  2. Step 2: Convert to fraction form
    22,369.36/30,870.32 = 12,298.22/x
  3. Step 3: Cross multiply
    22,369.36x = 30,870.32 × 12,298.22
  4. Step 4: Simplify right side
    22,369.36x = 379,650,002.52
  5. Step 5: Solve for x
    x = 379,650,002.52/22,369.36
  6. Step 6: Final answer
    x = 16,971.88

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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.