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Finding the Fourth Proportional to 15,423, 21,283.74 and 8,799

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Solution

The fourth proportional to 15,423, 21,283.74 and 8,799 is: 12,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,423 : 21,283.74 = 8,799 : x
  2. Step 2: Convert to fraction form
    15,423/21,283.74 = 8,799/x
  3. Step 3: Cross multiply
    15,423x = 21,283.74 × 8,799
  4. Step 4: Simplify right side
    15,423x = 187,275,628.26
  5. Step 5: Solve for x
    x = 187,275,628.26/15,423
  6. Step 6: Final answer
    x = 12,142.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.