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Finding the Fourth Proportional to 16,314.16, 24,471.14 and 4,627.38

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Solution

The fourth proportional to 16,314.16, 24,471.14 and 4,627.38 is: 6,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.16 : 24,471.14 = 4,627.38 : x
  2. Step 2: Convert to fraction form
    16,314.16/24,471.14 = 4,627.38/x
  3. Step 3: Cross multiply
    16,314.16x = 24,471.14 × 4,627.38
  4. Step 4: Simplify right side
    16,314.16x = 113,237,263.81
  5. Step 5: Solve for x
    x = 113,237,263.81/16,314.16
  6. Step 6: Final answer
    x = 6,941.04

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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.