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Finding the Fourth Proportional to 13,178.92, 18,186.78 and 7,210.52

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Solution

The fourth proportional to 13,178.92, 18,186.78 and 7,210.52 is: 9,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.92 : 18,186.78 = 7,210.52 : x
  2. Step 2: Convert to fraction form
    13,178.92/18,186.78 = 7,210.52/x
  3. Step 3: Cross multiply
    13,178.92x = 18,186.78 × 7,210.52
  4. Step 4: Simplify right side
    13,178.92x = 131,136,140.93
  5. Step 5: Solve for x
    x = 131,136,140.93/13,178.92
  6. Step 6: Final answer
    x = 9,950.45

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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.