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Finding the Fourth Proportional to 16,490.64, 24,707.16 and 13,735.02

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Solution

The fourth proportional to 16,490.64, 24,707.16 and 13,735.02 is: 20,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,490.64 : 24,707.16 = 13,735.02 : x
  2. Step 2: Convert to fraction form
    16,490.64/24,707.16 = 13,735.02/x
  3. Step 3: Cross multiply
    16,490.64x = 24,707.16 × 13,735.02
  4. Step 4: Simplify right side
    16,490.64x = 339,353,336.74
  5. Step 5: Solve for x
    x = 339,353,336.74/16,490.64
  6. Step 6: Final answer
    x = 20,578.54

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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.