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Finding the Fourth Proportional to 21,296.84, 31,967.58 and 10,212.92

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Solution

The fourth proportional to 21,296.84, 31,967.58 and 10,212.92 is: 15,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.84 : 31,967.58 = 10,212.92 : x
  2. Step 2: Convert to fraction form
    21,296.84/31,967.58 = 10,212.92/x
  3. Step 3: Cross multiply
    21,296.84x = 31,967.58 × 10,212.92
  4. Step 4: Simplify right side
    21,296.84x = 326,482,337.13
  5. Step 5: Solve for x
    x = 326,482,337.13/21,296.84
  6. Step 6: Final answer
    x = 15,330.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.