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Finding the Fourth Proportional to 23,384.28, 32,270.72 and 14,311.16

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Solution

The fourth proportional to 23,384.28, 32,270.72 and 14,311.16 is: 19,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.28 : 32,270.72 = 14,311.16 : x
  2. Step 2: Convert to fraction form
    23,384.28/32,270.72 = 14,311.16/x
  3. Step 3: Cross multiply
    23,384.28x = 32,270.72 × 14,311.16
  4. Step 4: Simplify right side
    23,384.28x = 461,831,437.24
  5. Step 5: Solve for x
    x = 461,831,437.24/23,384.28
  6. Step 6: Final answer
    x = 19,749.65

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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.