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Finding the Fourth Proportional to 28,006.44, 42,016.95 and 10,477.64

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Solution

The fourth proportional to 28,006.44, 42,016.95 and 10,477.64 is: 15,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.44 : 42,016.95 = 10,477.64 : x
  2. Step 2: Convert to fraction form
    28,006.44/42,016.95 = 10,477.64/x
  3. Step 3: Cross multiply
    28,006.44x = 42,016.95 × 10,477.64
  4. Step 4: Simplify right side
    28,006.44x = 440,238,265.91
  5. Step 5: Solve for x
    x = 440,238,265.91/28,006.44
  6. Step 6: Final answer
    x = 15,719.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.