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Finding the Fourth Proportional to 22,710, 34,036.16 and 10,216.64

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Solution

The fourth proportional to 22,710, 34,036.16 and 10,216.64 is: 15,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710 : 34,036.16 = 10,216.64 : x
  2. Step 2: Convert to fraction form
    22,710/34,036.16 = 10,216.64/x
  3. Step 3: Cross multiply
    22,710x = 34,036.16 × 10,216.64
  4. Step 4: Simplify right side
    22,710x = 347,735,193.70
  5. Step 5: Solve for x
    x = 347,735,193.70/22,710
  6. Step 6: Final answer
    x = 15,311.99

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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.