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Finding the Fourth Proportional to 13,567.79, 18,724.95 and 8,535.87

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Solution

The fourth proportional to 13,567.79, 18,724.95 and 8,535.87 is: 11,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.79 : 18,724.95 = 8,535.87 : x
  2. Step 2: Convert to fraction form
    13,567.79/18,724.95 = 8,535.87/x
  3. Step 3: Cross multiply
    13,567.79x = 18,724.95 × 8,535.87
  4. Step 4: Simplify right side
    13,567.79x = 159,833,738.96
  5. Step 5: Solve for x
    x = 159,833,738.96/13,567.79
  6. Step 6: Final answer
    x = 11,780.38

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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.