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Finding the Fourth Proportional to 13,534.93, 18,678.62 and 7,566.85

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Solution

The fourth proportional to 13,534.93, 18,678.62 and 7,566.85 is: 10,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.93 : 18,678.62 = 7,566.85 : x
  2. Step 2: Convert to fraction form
    13,534.93/18,678.62 = 7,566.85/x
  3. Step 3: Cross multiply
    13,534.93x = 18,678.62 × 7,566.85
  4. Step 4: Simplify right side
    13,534.93x = 141,338,277.91
  5. Step 5: Solve for x
    x = 141,338,277.91/13,534.93
  6. Step 6: Final answer
    x = 10,442.48

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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.