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Finding the Fourth Proportional to 23,141.70, 34,712.55 and 13,300.20

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Solution

The fourth proportional to 23,141.70, 34,712.55 and 13,300.20 is: 19,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.70 : 34,712.55 = 13,300.20 : x
  2. Step 2: Convert to fraction form
    23,141.70/34,712.55 = 13,300.20/x
  3. Step 3: Cross multiply
    23,141.70x = 34,712.55 × 13,300.20
  4. Step 4: Simplify right side
    23,141.70x = 461,683,857.51
  5. Step 5: Solve for x
    x = 461,683,857.51/23,141.70
  6. Step 6: Final answer
    x = 19,950.30

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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.