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Finding the Fourth Proportional to 12,440.36, 18,653.52 and 4,646

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Solution

The fourth proportional to 12,440.36, 18,653.52 and 4,646 is: 6,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,440.36 : 18,653.52 = 4,646 : x
  2. Step 2: Convert to fraction form
    12,440.36/18,653.52 = 4,646/x
  3. Step 3: Cross multiply
    12,440.36x = 18,653.52 × 4,646
  4. Step 4: Simplify right side
    12,440.36x = 86,664,253.92
  5. Step 5: Solve for x
    x = 86,664,253.92/12,440.36
  6. Step 6: Final answer
    x = 6,966.38

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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.