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Finding the Fourth Proportional to 13,502.66, 20,257.75 and 4,142.99

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Solution

The fourth proportional to 13,502.66, 20,257.75 and 4,142.99 is: 6,215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.66 : 20,257.75 = 4,142.99 : x
  2. Step 2: Convert to fraction form
    13,502.66/20,257.75 = 4,142.99/x
  3. Step 3: Cross multiply
    13,502.66x = 20,257.75 × 4,142.99
  4. Step 4: Simplify right side
    13,502.66x = 83,927,655.67
  5. Step 5: Solve for x
    x = 83,927,655.67/13,502.66
  6. Step 6: Final answer
    x = 6,215.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.