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Finding the Fourth Proportional to 12,188.51, 18,285.32 and 6,925.95

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Solution

The fourth proportional to 12,188.51, 18,285.32 and 6,925.95 is: 10,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.51 : 18,285.32 = 6,925.95 : x
  2. Step 2: Convert to fraction form
    12,188.51/18,285.32 = 6,925.95/x
  3. Step 3: Cross multiply
    12,188.51x = 18,285.32 × 6,925.95
  4. Step 4: Simplify right side
    12,188.51x = 126,643,177.42
  5. Step 5: Solve for x
    x = 126,643,177.42/12,188.51
  6. Step 6: Final answer
    x = 10,390.38

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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.