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Finding the Fourth Proportional to 13,586.24, 18,746.16 and 8,877.44

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Solution

The fourth proportional to 13,586.24, 18,746.16 and 8,877.44 is: 12,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.24 : 18,746.16 = 8,877.44 : x
  2. Step 2: Convert to fraction form
    13,586.24/18,746.16 = 8,877.44/x
  3. Step 3: Cross multiply
    13,586.24x = 18,746.16 × 8,877.44
  4. Step 4: Simplify right side
    13,586.24x = 166,417,910.63
  5. Step 5: Solve for x
    x = 166,417,910.63/13,586.24
  6. Step 6: Final answer
    x = 12,249.00

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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.