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Finding the Fourth Proportional to 21,758.16, 30,015.58 and 14,201

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Solution

The fourth proportional to 21,758.16, 30,015.58 and 14,201 is: 19,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,758.16 : 30,015.58 = 14,201 : x
  2. Step 2: Convert to fraction form
    21,758.16/30,015.58 = 14,201/x
  3. Step 3: Cross multiply
    21,758.16x = 30,015.58 × 14,201
  4. Step 4: Simplify right side
    21,758.16x = 426,251,251.58
  5. Step 5: Solve for x
    x = 426,251,251.58/21,758.16
  6. Step 6: Final answer
    x = 19,590.41

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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.