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Finding the Fourth Proportional to 19,637.76, 29,456.64 and 11,424

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Solution

The fourth proportional to 19,637.76, 29,456.64 and 11,424 is: 17,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,637.76 : 29,456.64 = 11,424 : x
  2. Step 2: Convert to fraction form
    19,637.76/29,456.64 = 11,424/x
  3. Step 3: Cross multiply
    19,637.76x = 29,456.64 × 11,424
  4. Step 4: Simplify right side
    19,637.76x = 336,512,655.36
  5. Step 5: Solve for x
    x = 336,512,655.36/19,637.76
  6. Step 6: Final answer
    x = 17,136.00

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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.