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Finding the Fourth Proportional to 13,177.23, 18,184.64 and 7,209

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Solution

The fourth proportional to 13,177.23, 18,184.64 and 7,209 is: 9,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,177.23 : 18,184.64 = 7,209 : x
  2. Step 2: Convert to fraction form
    13,177.23/18,184.64 = 7,209/x
  3. Step 3: Cross multiply
    13,177.23x = 18,184.64 × 7,209
  4. Step 4: Simplify right side
    13,177.23x = 131,093,033.72
  5. Step 5: Solve for x
    x = 131,093,033.72/13,177.23
  6. Step 6: Final answer
    x = 9,948.45

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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.