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Finding the Fourth Proportional to 13,566.17, 18,721.98 and 7,597.82

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Solution

The fourth proportional to 13,566.17, 18,721.98 and 7,597.82 is: 10,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.17 : 18,721.98 = 7,597.82 : x
  2. Step 2: Convert to fraction form
    13,566.17/18,721.98 = 7,597.82/x
  3. Step 3: Cross multiply
    13,566.17x = 18,721.98 × 7,597.82
  4. Step 4: Simplify right side
    13,566.17x = 142,246,280.89
  5. Step 5: Solve for x
    x = 142,246,280.89/13,566.17
  6. Step 6: Final answer
    x = 10,485.37

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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.