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Finding the Fourth Proportional to 12,089.40, 18,137.16 and 5,852.40

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Solution

The fourth proportional to 12,089.40, 18,137.16 and 5,852.40 is: 8,780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.40 : 18,137.16 = 5,852.40 : x
  2. Step 2: Convert to fraction form
    12,089.40/18,137.16 = 5,852.40/x
  3. Step 3: Cross multiply
    12,089.40x = 18,137.16 × 5,852.40
  4. Step 4: Simplify right side
    12,089.40x = 106,145,915.18
  5. Step 5: Solve for x
    x = 106,145,915.18/12,089.40
  6. Step 6: Final answer
    x = 8,780.08

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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.