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Finding the Fourth Proportional to 15,286.64, 21,096.59 and 10,259.24

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Solution

The fourth proportional to 15,286.64, 21,096.59 and 10,259.24 is: 14,158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286.64 : 21,096.59 = 10,259.24 : x
  2. Step 2: Convert to fraction form
    15,286.64/21,096.59 = 10,259.24/x
  3. Step 3: Cross multiply
    15,286.64x = 21,096.59 × 10,259.24
  4. Step 4: Simplify right side
    15,286.64x = 216,434,823.21
  5. Step 5: Solve for x
    x = 216,434,823.21/15,286.64
  6. Step 6: Final answer
    x = 14,158.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.