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Finding the Fourth Proportional to 19,875.34, 27,409.12 and 13,057.37

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Solution

The fourth proportional to 19,875.34, 27,409.12 and 13,057.37 is: 18,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.34 : 27,409.12 = 13,057.37 : x
  2. Step 2: Convert to fraction form
    19,875.34/27,409.12 = 13,057.37/x
  3. Step 3: Cross multiply
    19,875.34x = 27,409.12 × 13,057.37
  4. Step 4: Simplify right side
    19,875.34x = 357,890,851.53
  5. Step 5: Solve for x
    x = 357,890,851.53/19,875.34
  6. Step 6: Final answer
    x = 18,006.78

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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.