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Finding the Fourth Proportional to 21,421.70, 29,560.16 and 12,807.68

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Solution

The fourth proportional to 21,421.70, 29,560.16 and 12,807.68 is: 17,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,421.70 : 29,560.16 = 12,807.68 : x
  2. Step 2: Convert to fraction form
    21,421.70/29,560.16 = 12,807.68/x
  3. Step 3: Cross multiply
    21,421.70x = 29,560.16 × 12,807.68
  4. Step 4: Simplify right side
    21,421.70x = 378,597,070.03
  5. Step 5: Solve for x
    x = 378,597,070.03/21,421.70
  6. Step 6: Final answer
    x = 17,673.53

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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.