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Finding the Fourth Proportional to 15,497.64, 23,245.92 and 4,967.51

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Solution

The fourth proportional to 15,497.64, 23,245.92 and 4,967.51 is: 7,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.64 : 23,245.92 = 4,967.51 : x
  2. Step 2: Convert to fraction form
    15,497.64/23,245.92 = 4,967.51/x
  3. Step 3: Cross multiply
    15,497.64x = 23,245.92 × 4,967.51
  4. Step 4: Simplify right side
    15,497.64x = 115,474,223.83
  5. Step 5: Solve for x
    x = 115,474,223.83/15,497.64
  6. Step 6: Final answer
    x = 7,451.08

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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.