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Finding the Fourth Proportional to 12,103.61, 18,144.47 and 8,407.58

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Solution

The fourth proportional to 12,103.61, 18,144.47 and 8,407.58 is: 12,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.61 : 18,144.47 = 8,407.58 : x
  2. Step 2: Convert to fraction form
    12,103.61/18,144.47 = 8,407.58/x
  3. Step 3: Cross multiply
    12,103.61x = 18,144.47 × 8,407.58
  4. Step 4: Simplify right side
    12,103.61x = 152,550,950.32
  5. Step 5: Solve for x
    x = 152,550,950.32/12,103.61
  6. Step 6: Final answer
    x = 12,603.76

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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.