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Finding the Fourth Proportional to 15,856.15, 23,786.93 and 5,465.47

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Solution

The fourth proportional to 15,856.15, 23,786.93 and 5,465.47 is: 8,199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.15 : 23,786.93 = 5,465.47 : x
  2. Step 2: Convert to fraction form
    15,856.15/23,786.93 = 5,465.47/x
  3. Step 3: Cross multiply
    15,856.15x = 23,786.93 × 5,465.47
  4. Step 4: Simplify right side
    15,856.15x = 130,006,724.98
  5. Step 5: Solve for x
    x = 130,006,724.98/15,856.15
  6. Step 6: Final answer
    x = 8,199.14

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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.