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Finding the Fourth Proportional to 12,346.64, 18,522.08 and 4,024.32

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Solution

The fourth proportional to 12,346.64, 18,522.08 and 4,024.32 is: 6,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.64 : 18,522.08 = 4,024.32 : x
  2. Step 2: Convert to fraction form
    12,346.64/18,522.08 = 4,024.32/x
  3. Step 3: Cross multiply
    12,346.64x = 18,522.08 × 4,024.32
  4. Step 4: Simplify right side
    12,346.64x = 74,538,776.99
  5. Step 5: Solve for x
    x = 74,538,776.99/12,346.64
  6. Step 6: Final answer
    x = 6,037.17

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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.