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Finding the Fourth Proportional to 12,431.61, 18,646.80 and 4,639.81

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Solution

The fourth proportional to 12,431.61, 18,646.80 and 4,639.81 is: 6,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.61 : 18,646.80 = 4,639.81 : x
  2. Step 2: Convert to fraction form
    12,431.61/18,646.80 = 4,639.81/x
  3. Step 3: Cross multiply
    12,431.61x = 18,646.80 × 4,639.81
  4. Step 4: Simplify right side
    12,431.61x = 86,517,609.11
  5. Step 5: Solve for x
    x = 86,517,609.11/12,431.61
  6. Step 6: Final answer
    x = 6,959.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.