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Finding the Fourth Proportional to 14,197.68, 19,619.76 and 10,654.74

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Solution

The fourth proportional to 14,197.68, 19,619.76 and 10,654.74 is: 14,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.68 : 19,619.76 = 10,654.74 : x
  2. Step 2: Convert to fraction form
    14,197.68/19,619.76 = 10,654.74/x
  3. Step 3: Cross multiply
    14,197.68x = 19,619.76 × 10,654.74
  4. Step 4: Simplify right side
    14,197.68x = 209,043,441.66
  5. Step 5: Solve for x
    x = 209,043,441.66/14,197.68
  6. Step 6: Final answer
    x = 14,723.77

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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.