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Finding the Fourth Proportional to 12,185.93, 18,275.18 and 5,165.81

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Solution

The fourth proportional to 12,185.93, 18,275.18 and 5,165.81 is: 7,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.93 : 18,275.18 = 5,165.81 : x
  2. Step 2: Convert to fraction form
    12,185.93/18,275.18 = 5,165.81/x
  3. Step 3: Cross multiply
    12,185.93x = 18,275.18 × 5,165.81
  4. Step 4: Simplify right side
    12,185.93x = 94,406,127.45
  5. Step 5: Solve for x
    x = 94,406,127.45/12,185.93
  6. Step 6: Final answer
    x = 7,747.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.