Home / 27,568.48-38,032.32-16,384

Finding the Fourth Proportional to 27,568.48, 38,032.32 and 16,384

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Solution

The fourth proportional to 27,568.48, 38,032.32 and 16,384 is: 22,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.48 : 38,032.32 = 16,384 : x
  2. Step 2: Convert to fraction form
    27,568.48/38,032.32 = 16,384/x
  3. Step 3: Cross multiply
    27,568.48x = 38,032.32 × 16,384
  4. Step 4: Simplify right side
    27,568.48x = 623,121,530.88
  5. Step 5: Solve for x
    x = 623,121,530.88/27,568.48
  6. Step 6: Final answer
    x = 22,602.68

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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.