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Finding the Fourth Proportional to 15,901.12, 23,856 and 4,807.36

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Solution

The fourth proportional to 15,901.12, 23,856 and 4,807.36 is: 7,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.12 : 23,856 = 4,807.36 : x
  2. Step 2: Convert to fraction form
    15,901.12/23,856 = 4,807.36/x
  3. Step 3: Cross multiply
    15,901.12x = 23,856 × 4,807.36
  4. Step 4: Simplify right side
    15,901.12x = 114,684,380.16
  5. Step 5: Solve for x
    x = 114,684,380.16/15,901.12
  6. Step 6: Final answer
    x = 7,212.35

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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.