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Finding the Fourth Proportional to 19,300, 26,657.04 and 13,001.44

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Solution

The fourth proportional to 19,300, 26,657.04 and 13,001.44 is: 17,957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,300 : 26,657.04 = 13,001.44 : x
  2. Step 2: Convert to fraction form
    19,300/26,657.04 = 13,001.44/x
  3. Step 3: Cross multiply
    19,300x = 26,657.04 × 13,001.44
  4. Step 4: Simplify right side
    19,300x = 346,579,906.14
  5. Step 5: Solve for x
    x = 346,579,906.14/19,300
  6. Step 6: Final answer
    x = 17,957.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.