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Finding the Fourth Proportional to 19,192.80, 26,484.08 and 17,781.76

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Solution

The fourth proportional to 19,192.80, 26,484.08 and 17,781.76 is: 24,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,192.80 : 26,484.08 = 17,781.76 : x
  2. Step 2: Convert to fraction form
    19,192.80/26,484.08 = 17,781.76/x
  3. Step 3: Cross multiply
    19,192.80x = 26,484.08 × 17,781.76
  4. Step 4: Simplify right side
    19,192.80x = 470,933,554.38
  5. Step 5: Solve for x
    x = 470,933,554.38/19,192.80
  6. Step 6: Final answer
    x = 24,536.99

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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.