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Finding the Fourth Proportional to 27,833.97, 38,412.45 and 16,510.17

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Solution

The fourth proportional to 27,833.97, 38,412.45 and 16,510.17 is: 22,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.97 : 38,412.45 = 16,510.17 : x
  2. Step 2: Convert to fraction form
    27,833.97/38,412.45 = 16,510.17/x
  3. Step 3: Cross multiply
    27,833.97x = 38,412.45 × 16,510.17
  4. Step 4: Simplify right side
    27,833.97x = 634,196,079.62
  5. Step 5: Solve for x
    x = 634,196,079.62/27,833.97
  6. Step 6: Final answer
    x = 22,784.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.