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Finding the Fourth Proportional to 16,254.34, 22,431 and 8,802.34

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Solution

The fourth proportional to 16,254.34, 22,431 and 8,802.34 is: 12,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.34 : 22,431 = 8,802.34 : x
  2. Step 2: Convert to fraction form
    16,254.34/22,431 = 8,802.34/x
  3. Step 3: Cross multiply
    16,254.34x = 22,431 × 8,802.34
  4. Step 4: Simplify right side
    16,254.34x = 197,445,288.54
  5. Step 5: Solve for x
    x = 197,445,288.54/16,254.34
  6. Step 6: Final answer
    x = 12,147.24

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1.5x scale

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.