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Finding the Fourth Proportional to 12,442.08, 18,669.84 and 8,283.84

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Solution

The fourth proportional to 12,442.08, 18,669.84 and 8,283.84 is: 12,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.08 : 18,669.84 = 8,283.84 : x
  2. Step 2: Convert to fraction form
    12,442.08/18,669.84 = 8,283.84/x
  3. Step 3: Cross multiply
    12,442.08x = 18,669.84 × 8,283.84
  4. Step 4: Simplify right side
    12,442.08x = 154,657,967.39
  5. Step 5: Solve for x
    x = 154,657,967.39/12,442.08
  6. Step 6: Final answer
    x = 12,430.23

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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.