Home / 16,214.24-22,376.10-9,842

Finding the Fourth Proportional to 16,214.24, 22,376.10 and 9,842

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Solution

The fourth proportional to 16,214.24, 22,376.10 and 9,842 is: 13,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.24 : 22,376.10 = 9,842 : x
  2. Step 2: Convert to fraction form
    16,214.24/22,376.10 = 9,842/x
  3. Step 3: Cross multiply
    16,214.24x = 22,376.10 × 9,842
  4. Step 4: Simplify right side
    16,214.24x = 220,225,576.20
  5. Step 5: Solve for x
    x = 220,225,576.20/16,214.24
  6. Step 6: Final answer
    x = 13,582.23

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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.