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Finding the Fourth Proportional to 22,970.76, 34,455.78 and 13,089

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Solution

The fourth proportional to 22,970.76, 34,455.78 and 13,089 is: 19,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.76 : 34,455.78 = 13,089 : x
  2. Step 2: Convert to fraction form
    22,970.76/34,455.78 = 13,089/x
  3. Step 3: Cross multiply
    22,970.76x = 34,455.78 × 13,089
  4. Step 4: Simplify right side
    22,970.76x = 450,991,704.42
  5. Step 5: Solve for x
    x = 450,991,704.42/22,970.76
  6. Step 6: Final answer
    x = 19,633.29

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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.