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Finding the Fourth Proportional to 14,967.16, 20,645.22 and 10,709.80

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Solution

The fourth proportional to 14,967.16, 20,645.22 and 10,709.80 is: 14,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,967.16 : 20,645.22 = 10,709.80 : x
  2. Step 2: Convert to fraction form
    14,967.16/20,645.22 = 10,709.80/x
  3. Step 3: Cross multiply
    14,967.16x = 20,645.22 × 10,709.80
  4. Step 4: Simplify right side
    14,967.16x = 221,106,177.16
  5. Step 5: Solve for x
    x = 221,106,177.16/14,967.16
  6. Step 6: Final answer
    x = 14,772.75

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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.