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Finding the Fourth Proportional to 12,303.47, 18,458.08 and 3,983.15

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Solution

The fourth proportional to 12,303.47, 18,458.08 and 3,983.15 is: 5,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.47 : 18,458.08 = 3,983.15 : x
  2. Step 2: Convert to fraction form
    12,303.47/18,458.08 = 3,983.15/x
  3. Step 3: Cross multiply
    12,303.47x = 18,458.08 × 3,983.15
  4. Step 4: Simplify right side
    12,303.47x = 73,521,301.35
  5. Step 5: Solve for x
    x = 73,521,301.35/12,303.47
  6. Step 6: Final answer
    x = 5,975.66

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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.