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Finding the Fourth Proportional to 22,931.22, 34,396.89 and 6,291.48

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Solution

The fourth proportional to 22,931.22, 34,396.89 and 6,291.48 is: 9,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.22 : 34,396.89 = 6,291.48 : x
  2. Step 2: Convert to fraction form
    22,931.22/34,396.89 = 6,291.48/x
  3. Step 3: Cross multiply
    22,931.22x = 34,396.89 × 6,291.48
  4. Step 4: Simplify right side
    22,931.22x = 216,407,345.50
  5. Step 5: Solve for x
    x = 216,407,345.50/22,931.22
  6. Step 6: Final answer
    x = 9,437.24

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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.