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Finding the Fourth Proportional to 19,577.50, 27,039.38 and 12,893

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Solution

The fourth proportional to 19,577.50, 27,039.38 and 12,893 is: 17,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.50 : 27,039.38 = 12,893 : x
  2. Step 2: Convert to fraction form
    19,577.50/27,039.38 = 12,893/x
  3. Step 3: Cross multiply
    19,577.50x = 27,039.38 × 12,893
  4. Step 4: Simplify right side
    19,577.50x = 348,618,726.34
  5. Step 5: Solve for x
    x = 348,618,726.34/19,577.50
  6. Step 6: Final answer
    x = 17,807.11

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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.