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Finding the Fourth Proportional to 19,820.34, 27,360.79 and 13,875.34

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Solution

The fourth proportional to 19,820.34, 27,360.79 and 13,875.34 is: 19,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.34 : 27,360.79 = 13,875.34 : x
  2. Step 2: Convert to fraction form
    19,820.34/27,360.79 = 13,875.34/x
  3. Step 3: Cross multiply
    19,820.34x = 27,360.79 × 13,875.34
  4. Step 4: Simplify right side
    19,820.34x = 379,640,263.92
  5. Step 5: Solve for x
    x = 379,640,263.92/19,820.34
  6. Step 6: Final answer
    x = 19,154.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.