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Finding the Fourth Proportional to 27,543.16, 38,009.82 and 16,363

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Solution

The fourth proportional to 27,543.16, 38,009.82 and 16,363 is: 22,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.16 : 38,009.82 = 16,363 : x
  2. Step 2: Convert to fraction form
    27,543.16/38,009.82 = 16,363/x
  3. Step 3: Cross multiply
    27,543.16x = 38,009.82 × 16,363
  4. Step 4: Simplify right side
    27,543.16x = 621,954,684.66
  5. Step 5: Solve for x
    x = 621,954,684.66/27,543.16
  6. Step 6: Final answer
    x = 22,581.09

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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.