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Finding the Fourth Proportional to 22,478.38, 31,019.85 and 12,407.01

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Solution

The fourth proportional to 22,478.38, 31,019.85 and 12,407.01 is: 17,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.38 : 31,019.85 = 12,407.01 : x
  2. Step 2: Convert to fraction form
    22,478.38/31,019.85 = 12,407.01/x
  3. Step 3: Cross multiply
    22,478.38x = 31,019.85 × 12,407.01
  4. Step 4: Simplify right side
    22,478.38x = 384,863,697.72
  5. Step 5: Solve for x
    x = 384,863,697.72/22,478.38
  6. Step 6: Final answer
    x = 17,121.50

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Why These Related Problems?

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