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Finding the Fourth Proportional to 15,827.05, 21,844.02 and 9,116.57

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Solution

The fourth proportional to 15,827.05, 21,844.02 and 9,116.57 is: 12,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.05 : 21,844.02 = 9,116.57 : x
  2. Step 2: Convert to fraction form
    15,827.05/21,844.02 = 9,116.57/x
  3. Step 3: Cross multiply
    15,827.05x = 21,844.02 × 9,116.57
  4. Step 4: Simplify right side
    15,827.05x = 199,142,394.00
  5. Step 5: Solve for x
    x = 199,142,394.00/15,827.05
  6. Step 6: Final answer
    x = 12,582.41

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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.