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Finding the Fourth Proportional to 12,208.64, 18,312.32 and 4,000

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Solution

The fourth proportional to 12,208.64, 18,312.32 and 4,000 is: 5,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208.64 : 18,312.32 = 4,000 : x
  2. Step 2: Convert to fraction form
    12,208.64/18,312.32 = 4,000/x
  3. Step 3: Cross multiply
    12,208.64x = 18,312.32 × 4,000
  4. Step 4: Simplify right side
    12,208.64x = 73,249,280
  5. Step 5: Solve for x
    x = 73,249,280/12,208.64
  6. Step 6: Final answer
    x = 5,999.79

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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.