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Finding the Fourth Proportional to 12,084.64, 18,127.23 and 9,624.40

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Solution

The fourth proportional to 12,084.64, 18,127.23 and 9,624.40 is: 14,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.64 : 18,127.23 = 9,624.40 : x
  2. Step 2: Convert to fraction form
    12,084.64/18,127.23 = 9,624.40/x
  3. Step 3: Cross multiply
    12,084.64x = 18,127.23 × 9,624.40
  4. Step 4: Simplify right side
    12,084.64x = 174,463,712.41
  5. Step 5: Solve for x
    x = 174,463,712.41/12,084.64
  6. Step 6: Final answer
    x = 14,436.82

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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.