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Finding the Fourth Proportional to 27,802.27, 38,366.70 and 15,865.30

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Solution

The fourth proportional to 27,802.27, 38,366.70 and 15,865.30 is: 21,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.27 : 38,366.70 = 15,865.30 : x
  2. Step 2: Convert to fraction form
    27,802.27/38,366.70 = 15,865.30/x
  3. Step 3: Cross multiply
    27,802.27x = 38,366.70 × 15,865.30
  4. Step 4: Simplify right side
    27,802.27x = 608,699,205.51
  5. Step 5: Solve for x
    x = 608,699,205.51/27,802.27
  6. Step 6: Final answer
    x = 21,893.87

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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.