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Finding the Fourth Proportional to 15,616.32, 23,415.84 and 9,464.64

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Solution

The fourth proportional to 15,616.32, 23,415.84 and 9,464.64 is: 14,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.32 : 23,415.84 = 9,464.64 : x
  2. Step 2: Convert to fraction form
    15,616.32/23,415.84 = 9,464.64/x
  3. Step 3: Cross multiply
    15,616.32x = 23,415.84 × 9,464.64
  4. Step 4: Simplify right side
    15,616.32x = 221,622,495.90
  5. Step 5: Solve for x
    x = 221,622,495.90/15,616.32
  6. Step 6: Final answer
    x = 14,191.72

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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.