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Finding the Fourth Proportional to 19,528, 26,953.50 and 11,149.36

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Solution

The fourth proportional to 19,528, 26,953.50 and 11,149.36 is: 15,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528 : 26,953.50 = 11,149.36 : x
  2. Step 2: Convert to fraction form
    19,528/26,953.50 = 11,149.36/x
  3. Step 3: Cross multiply
    19,528x = 26,953.50 × 11,149.36
  4. Step 4: Simplify right side
    19,528x = 300,514,274.76
  5. Step 5: Solve for x
    x = 300,514,274.76/19,528
  6. Step 6: Final answer
    x = 15,388.89

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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.