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Finding the Fourth Proportional to 12,433.62, 18,653.70 and 4,642.50

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Solution

The fourth proportional to 12,433.62, 18,653.70 and 4,642.50 is: 6,964.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.62 : 18,653.70 = 4,642.50 : x
  2. Step 2: Convert to fraction form
    12,433.62/18,653.70 = 4,642.50/x
  3. Step 3: Cross multiply
    12,433.62x = 18,653.70 × 4,642.50
  4. Step 4: Simplify right side
    12,433.62x = 86,599,802.25
  5. Step 5: Solve for x
    x = 86,599,802.25/12,433.62
  6. Step 6: Final answer
    x = 6,964.97

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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.