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Finding the Fourth Proportional to 21,702.87, 29,956.14 and 13,206.33

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Solution

The fourth proportional to 21,702.87, 29,956.14 and 13,206.33 is: 18,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.87 : 29,956.14 = 13,206.33 : x
  2. Step 2: Convert to fraction form
    21,702.87/29,956.14 = 13,206.33/x
  3. Step 3: Cross multiply
    21,702.87x = 29,956.14 × 13,206.33
  4. Step 4: Simplify right side
    21,702.87x = 395,610,670.37
  5. Step 5: Solve for x
    x = 395,610,670.37/21,702.87
  6. Step 6: Final answer
    x = 18,228.50

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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.