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Finding the Fourth Proportional to 22,308, 33,442.92 and 9,152.16

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Solution

The fourth proportional to 22,308, 33,442.92 and 9,152.16 is: 13,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308 : 33,442.92 = 9,152.16 : x
  2. Step 2: Convert to fraction form
    22,308/33,442.92 = 9,152.16/x
  3. Step 3: Cross multiply
    22,308x = 33,442.92 × 9,152.16
  4. Step 4: Simplify right side
    22,308x = 306,074,954.71
  5. Step 5: Solve for x
    x = 306,074,954.71/22,308
  6. Step 6: Final answer
    x = 13,720.41

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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.