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Finding the Fourth Proportional to 15,908.96, 23,871.84 and 11,562.40

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Solution

The fourth proportional to 15,908.96, 23,871.84 and 11,562.40 is: 17,349.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,908.96 : 23,871.84 = 11,562.40 : x
  2. Step 2: Convert to fraction form
    15,908.96/23,871.84 = 11,562.40/x
  3. Step 3: Cross multiply
    15,908.96x = 23,871.84 × 11,562.40
  4. Step 4: Simplify right side
    15,908.96x = 276,015,762.82
  5. Step 5: Solve for x
    x = 276,015,762.82/15,908.96
  6. Step 6: Final answer
    x = 17,349.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.