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Finding the Fourth Proportional to 16,292, 22,483.04 and 8,840

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Solution

The fourth proportional to 16,292, 22,483.04 and 8,840 is: 12,199.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,292 : 22,483.04 = 8,840 : x
  2. Step 2: Convert to fraction form
    16,292/22,483.04 = 8,840/x
  3. Step 3: Cross multiply
    16,292x = 22,483.04 × 8,840
  4. Step 4: Simplify right side
    16,292x = 198,750,073.60
  5. Step 5: Solve for x
    x = 198,750,073.60/16,292
  6. Step 6: Final answer
    x = 12,199.24

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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.