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Finding the Fourth Proportional to 13,455.95, 18,569.19 and 7,866.95

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Solution

The fourth proportional to 13,455.95, 18,569.19 and 7,866.95 is: 10,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,455.95 : 18,569.19 = 7,866.95 : x
  2. Step 2: Convert to fraction form
    13,455.95/18,569.19 = 7,866.95/x
  3. Step 3: Cross multiply
    13,455.95x = 18,569.19 × 7,866.95
  4. Step 4: Simplify right side
    13,455.95x = 146,082,796.42
  5. Step 5: Solve for x
    x = 146,082,796.42/13,455.95
  6. Step 6: Final answer
    x = 10,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.