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Finding the Fourth Proportional to 22,878.48, 34,289.46 and 13,509

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Solution

The fourth proportional to 22,878.48, 34,289.46 and 13,509 is: 20,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.48 : 34,289.46 = 13,509 : x
  2. Step 2: Convert to fraction form
    22,878.48/34,289.46 = 13,509/x
  3. Step 3: Cross multiply
    22,878.48x = 34,289.46 × 13,509
  4. Step 4: Simplify right side
    22,878.48x = 463,216,315.14
  5. Step 5: Solve for x
    x = 463,216,315.14/22,878.48
  6. Step 6: Final answer
    x = 20,246.81

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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.