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Finding the Fourth Proportional to 16,382.64, 24,574.26 and 5,290.32

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Solution

The fourth proportional to 16,382.64, 24,574.26 and 5,290.32 is: 7,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.64 : 24,574.26 = 5,290.32 : x
  2. Step 2: Convert to fraction form
    16,382.64/24,574.26 = 5,290.32/x
  3. Step 3: Cross multiply
    16,382.64x = 24,574.26 × 5,290.32
  4. Step 4: Simplify right side
    16,382.64x = 130,005,699.16
  5. Step 5: Solve for x
    x = 130,005,699.16/16,382.64
  6. Step 6: Final answer
    x = 7,935.58

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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.