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Finding the Fourth Proportional to 15,533.98, 23,280.17 and 5,663.95

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Solution

The fourth proportional to 15,533.98, 23,280.17 and 5,663.95 is: 8,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.98 : 23,280.17 = 5,663.95 : x
  2. Step 2: Convert to fraction form
    15,533.98/23,280.17 = 5,663.95/x
  3. Step 3: Cross multiply
    15,533.98x = 23,280.17 × 5,663.95
  4. Step 4: Simplify right side
    15,533.98x = 131,857,616.63
  5. Step 5: Solve for x
    x = 131,857,616.63/15,533.98
  6. Step 6: Final answer
    x = 8,488.34

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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.