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Finding the Fourth Proportional to 12,518.20, 18,783.24 and 6,278.77

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Solution

The fourth proportional to 12,518.20, 18,783.24 and 6,278.77 is: 9,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.20 : 18,783.24 = 6,278.77 : x
  2. Step 2: Convert to fraction form
    12,518.20/18,783.24 = 6,278.77/x
  3. Step 3: Cross multiply
    12,518.20x = 18,783.24 × 6,278.77
  4. Step 4: Simplify right side
    12,518.20x = 117,935,643.81
  5. Step 5: Solve for x
    x = 117,935,643.81/12,518.20
  6. Step 6: Final answer
    x = 9,421.13

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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.