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Finding the Fourth Proportional to 13,509.89, 18,637.19 and 8,471.59

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Solution

The fourth proportional to 13,509.89, 18,637.19 and 8,471.59 is: 11,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.89 : 18,637.19 = 8,471.59 : x
  2. Step 2: Convert to fraction form
    13,509.89/18,637.19 = 8,471.59/x
  3. Step 3: Cross multiply
    13,509.89x = 18,637.19 × 8,471.59
  4. Step 4: Simplify right side
    13,509.89x = 157,886,575.25
  5. Step 5: Solve for x
    x = 157,886,575.25/13,509.89
  6. Step 6: Final answer
    x = 11,686.74

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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.