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Finding the Fourth Proportional to 22,678, 34,019.55 and 6,038.68

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Solution

The fourth proportional to 22,678, 34,019.55 and 6,038.68 is: 9,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678 : 34,019.55 = 6,038.68 : x
  2. Step 2: Convert to fraction form
    22,678/34,019.55 = 6,038.68/x
  3. Step 3: Cross multiply
    22,678x = 34,019.55 × 6,038.68
  4. Step 4: Simplify right side
    22,678x = 205,433,176.19
  5. Step 5: Solve for x
    x = 205,433,176.19/22,678
  6. Step 6: Final answer
    x = 9,058.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.