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Finding the Fourth Proportional to 15,643.19, 23,464.92 and 6,156.47

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Solution

The fourth proportional to 15,643.19, 23,464.92 and 6,156.47 is: 9,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.19 : 23,464.92 = 6,156.47 : x
  2. Step 2: Convert to fraction form
    15,643.19/23,464.92 = 6,156.47/x
  3. Step 3: Cross multiply
    15,643.19x = 23,464.92 × 6,156.47
  4. Step 4: Simplify right side
    15,643.19x = 144,461,157.78
  5. Step 5: Solve for x
    x = 144,461,157.78/15,643.19
  6. Step 6: Final answer
    x = 9,234.76

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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.