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Finding the Fourth Proportional to 14,564.43, 21,868.50 and 8,331.48

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Solution

The fourth proportional to 14,564.43, 21,868.50 and 8,331.48 is: 12,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.43 : 21,868.50 = 8,331.48 : x
  2. Step 2: Convert to fraction form
    14,564.43/21,868.50 = 8,331.48/x
  3. Step 3: Cross multiply
    14,564.43x = 21,868.50 × 8,331.48
  4. Step 4: Simplify right side
    14,564.43x = 182,196,970.38
  5. Step 5: Solve for x
    x = 182,196,970.38/14,564.43
  6. Step 6: Final answer
    x = 12,509.72

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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.