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Finding the Fourth Proportional to 27,879.76, 38,471.51 and 16,547.32

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Solution

The fourth proportional to 27,879.76, 38,471.51 and 16,547.32 is: 22,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879.76 : 38,471.51 = 16,547.32 : x
  2. Step 2: Convert to fraction form
    27,879.76/38,471.51 = 16,547.32/x
  3. Step 3: Cross multiply
    27,879.76x = 38,471.51 × 16,547.32
  4. Step 4: Simplify right side
    27,879.76x = 636,600,111.76
  5. Step 5: Solve for x
    x = 636,600,111.76/27,879.76
  6. Step 6: Final answer
    x = 22,833.78

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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.