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Finding the Fourth Proportional to 13,502.49, 18,646.77 and 8,789.50

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Solution

The fourth proportional to 13,502.49, 18,646.77 and 8,789.50 is: 12,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.49 : 18,646.77 = 8,789.50 : x
  2. Step 2: Convert to fraction form
    13,502.49/18,646.77 = 8,789.50/x
  3. Step 3: Cross multiply
    13,502.49x = 18,646.77 × 8,789.50
  4. Step 4: Simplify right side
    13,502.49x = 163,895,784.92
  5. Step 5: Solve for x
    x = 163,895,784.92/13,502.49
  6. Step 6: Final answer
    x = 12,138.19

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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.