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Finding the Fourth Proportional to 16,348, 22,562.16 and 9,724

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Solution

The fourth proportional to 16,348, 22,562.16 and 9,724 is: 13,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348 : 22,562.16 = 9,724 : x
  2. Step 2: Convert to fraction form
    16,348/22,562.16 = 9,724/x
  3. Step 3: Cross multiply
    16,348x = 22,562.16 × 9,724
  4. Step 4: Simplify right side
    16,348x = 219,394,443.84
  5. Step 5: Solve for x
    x = 219,394,443.84/16,348
  6. Step 6: Final answer
    x = 13,420.26

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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.