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Finding the Fourth Proportional to 15,934.64, 23,905.14 and 8,924.63

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Solution

The fourth proportional to 15,934.64, 23,905.14 and 8,924.63 is: 13,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934.64 : 23,905.14 = 8,924.63 : x
  2. Step 2: Convert to fraction form
    15,934.64/23,905.14 = 8,924.63/x
  3. Step 3: Cross multiply
    15,934.64x = 23,905.14 × 8,924.63
  4. Step 4: Simplify right side
    15,934.64x = 213,344,410.07
  5. Step 5: Solve for x
    x = 213,344,410.07/15,934.64
  6. Step 6: Final answer
    x = 13,388.72

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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.