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Finding the Fourth Proportional to 12,322.14, 18,483.21 and 3,088.14

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Solution

The fourth proportional to 12,322.14, 18,483.21 and 3,088.14 is: 4,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.14 : 18,483.21 = 3,088.14 : x
  2. Step 2: Convert to fraction form
    12,322.14/18,483.21 = 3,088.14/x
  3. Step 3: Cross multiply
    12,322.14x = 18,483.21 × 3,088.14
  4. Step 4: Simplify right side
    12,322.14x = 57,078,740.13
  5. Step 5: Solve for x
    x = 57,078,740.13/12,322.14
  6. Step 6: Final answer
    x = 4,632.21

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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.