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Finding the Fourth Proportional to 13,715.73, 20,577.24 and 4,356

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Solution

The fourth proportional to 13,715.73, 20,577.24 and 4,356 is: 6,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.73 : 20,577.24 = 4,356 : x
  2. Step 2: Convert to fraction form
    13,715.73/20,577.24 = 4,356/x
  3. Step 3: Cross multiply
    13,715.73x = 20,577.24 × 4,356
  4. Step 4: Simplify right side
    13,715.73x = 89,634,457.44
  5. Step 5: Solve for x
    x = 89,634,457.44/13,715.73
  6. Step 6: Final answer
    x = 6,535.16

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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.