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Finding the Fourth Proportional to 16,410.64, 22,631.52 and 14,515.24

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Solution

The fourth proportional to 16,410.64, 22,631.52 and 14,515.24 is: 20,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410.64 : 22,631.52 = 14,515.24 : x
  2. Step 2: Convert to fraction form
    16,410.64/22,631.52 = 14,515.24/x
  3. Step 3: Cross multiply
    16,410.64x = 22,631.52 × 14,515.24
  4. Step 4: Simplify right side
    16,410.64x = 328,501,944.36
  5. Step 5: Solve for x
    x = 328,501,944.36/16,410.64
  6. Step 6: Final answer
    x = 20,017.62

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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.