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Finding the Fourth Proportional to 12,116.12, 18,138.95 and 7,421.87

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Solution

The fourth proportional to 12,116.12, 18,138.95 and 7,421.87 is: 11,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,116.12 : 18,138.95 = 7,421.87 : x
  2. Step 2: Convert to fraction form
    12,116.12/18,138.95 = 7,421.87/x
  3. Step 3: Cross multiply
    12,116.12x = 18,138.95 × 7,421.87
  4. Step 4: Simplify right side
    12,116.12x = 134,624,937.07
  5. Step 5: Solve for x
    x = 134,624,937.07/12,116.12
  6. Step 6: Final answer
    x = 11,111.22

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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.