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Finding the Fourth Proportional to 15,537.84, 21,442.14 and 8,464.56

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Solution

The fourth proportional to 15,537.84, 21,442.14 and 8,464.56 is: 11,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.84 : 21,442.14 = 8,464.56 : x
  2. Step 2: Convert to fraction form
    15,537.84/21,442.14 = 8,464.56/x
  3. Step 3: Cross multiply
    15,537.84x = 21,442.14 × 8,464.56
  4. Step 4: Simplify right side
    15,537.84x = 181,498,280.56
  5. Step 5: Solve for x
    x = 181,498,280.56/15,537.84
  6. Step 6: Final answer
    x = 11,681.05

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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.