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Finding the Fourth Proportional to 22,886, 34,329.21 and 9,035

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Solution

The fourth proportional to 22,886, 34,329.21 and 9,035 is: 13,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,886 : 34,329.21 = 9,035 : x
  2. Step 2: Convert to fraction form
    22,886/34,329.21 = 9,035/x
  3. Step 3: Cross multiply
    22,886x = 34,329.21 × 9,035
  4. Step 4: Simplify right side
    22,886x = 310,164,412.35
  5. Step 5: Solve for x
    x = 310,164,412.35/22,886
  6. Step 6: Final answer
    x = 13,552.58

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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.