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Finding the Fourth Proportional to 22,006, 30,368.40 and 13,058

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Solution

The fourth proportional to 22,006, 30,368.40 and 13,058 is: 18,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,006 : 30,368.40 = 13,058 : x
  2. Step 2: Convert to fraction form
    22,006/30,368.40 = 13,058/x
  3. Step 3: Cross multiply
    22,006x = 30,368.40 × 13,058
  4. Step 4: Simplify right side
    22,006x = 396,550,567.20
  5. Step 5: Solve for x
    x = 396,550,567.20/22,006
  6. Step 6: Final answer
    x = 18,020.11

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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.