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Finding the Fourth Proportional to 21,338.64, 29,445.12 and 12,384.09

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Solution

The fourth proportional to 21,338.64, 29,445.12 and 12,384.09 is: 17,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.64 : 29,445.12 = 12,384.09 : x
  2. Step 2: Convert to fraction form
    21,338.64/29,445.12 = 12,384.09/x
  3. Step 3: Cross multiply
    21,338.64x = 29,445.12 × 12,384.09
  4. Step 4: Simplify right side
    21,338.64x = 364,651,016.14
  5. Step 5: Solve for x
    x = 364,651,016.14/21,338.64
  6. Step 6: Final answer
    x = 17,088.77

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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.