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Finding the Fourth Proportional to 15,583.80, 21,511.74 and 10,551

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Solution

The fourth proportional to 15,583.80, 21,511.74 and 10,551 is: 14,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.80 : 21,511.74 = 10,551 : x
  2. Step 2: Convert to fraction form
    15,583.80/21,511.74 = 10,551/x
  3. Step 3: Cross multiply
    15,583.80x = 21,511.74 × 10,551
  4. Step 4: Simplify right side
    15,583.80x = 226,970,368.74
  5. Step 5: Solve for x
    x = 226,970,368.74/15,583.80
  6. Step 6: Final answer
    x = 14,564.51

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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.