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Finding the Fourth Proportional to 21,645, 29,870.31 and 12,213.76

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Solution

The fourth proportional to 21,645, 29,870.31 and 12,213.76 is: 16,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,645 : 29,870.31 = 12,213.76 : x
  2. Step 2: Convert to fraction form
    21,645/29,870.31 = 12,213.76/x
  3. Step 3: Cross multiply
    21,645x = 29,870.31 × 12,213.76
  4. Step 4: Simplify right side
    21,645x = 364,828,797.47
  5. Step 5: Solve for x
    x = 364,828,797.47/21,645
  6. Step 6: Final answer
    x = 16,855.11

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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.