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Finding the Fourth Proportional to 28,282.80, 42,417 and 11,647.44

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Solution

The fourth proportional to 28,282.80, 42,417 and 11,647.44 is: 17,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,282.80 : 42,417 = 11,647.44 : x
  2. Step 2: Convert to fraction form
    28,282.80/42,417 = 11,647.44/x
  3. Step 3: Cross multiply
    28,282.80x = 42,417 × 11,647.44
  4. Step 4: Simplify right side
    28,282.80x = 494,049,462.48
  5. Step 5: Solve for x
    x = 494,049,462.48/28,282.80
  6. Step 6: Final answer
    x = 17,468.19

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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.