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Finding the Fourth Proportional to 20,153.34, 27,835.02 and 13,428

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Solution

The fourth proportional to 20,153.34, 27,835.02 and 13,428 is: 18,546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,153.34 : 27,835.02 = 13,428 : x
  2. Step 2: Convert to fraction form
    20,153.34/27,835.02 = 13,428/x
  3. Step 3: Cross multiply
    20,153.34x = 27,835.02 × 13,428
  4. Step 4: Simplify right side
    20,153.34x = 373,768,648.56
  5. Step 5: Solve for x
    x = 373,768,648.56/20,153.34
  6. Step 6: Final answer
    x = 18,546.24

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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.