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Finding the Fourth Proportional to 13,648.39, 18,840.06 and 9,184.87

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Solution

The fourth proportional to 13,648.39, 18,840.06 and 9,184.87 is: 12,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.39 : 18,840.06 = 9,184.87 : x
  2. Step 2: Convert to fraction form
    13,648.39/18,840.06 = 9,184.87/x
  3. Step 3: Cross multiply
    13,648.39x = 18,840.06 × 9,184.87
  4. Step 4: Simplify right side
    13,648.39x = 173,043,501.89
  5. Step 5: Solve for x
    x = 173,043,501.89/13,648.39
  6. Step 6: Final answer
    x = 12,678.68

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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.