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Finding the Fourth Proportional to 17,716.61, 24,447.88 and 10,164.17

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Solution

The fourth proportional to 17,716.61, 24,447.88 and 10,164.17 is: 14,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.61 : 24,447.88 = 10,164.17 : x
  2. Step 2: Convert to fraction form
    17,716.61/24,447.88 = 10,164.17/x
  3. Step 3: Cross multiply
    17,716.61x = 24,447.88 × 10,164.17
  4. Step 4: Simplify right side
    17,716.61x = 248,492,408.46
  5. Step 5: Solve for x
    x = 248,492,408.46/17,716.61
  6. Step 6: Final answer
    x = 14,025.96

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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.