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Finding the Fourth Proportional to 22,343.48, 30,834.06 and 12,407.48

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Solution

The fourth proportional to 22,343.48, 30,834.06 and 12,407.48 is: 17,122.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.48 : 30,834.06 = 12,407.48 : x
  2. Step 2: Convert to fraction form
    22,343.48/30,834.06 = 12,407.48/x
  3. Step 3: Cross multiply
    22,343.48x = 30,834.06 × 12,407.48
  4. Step 4: Simplify right side
    22,343.48x = 382,572,982.77
  5. Step 5: Solve for x
    x = 382,572,982.77/22,343.48
  6. Step 6: Final answer
    x = 17,122.35

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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.