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Finding the Fourth Proportional to 21,397.64, 29,528.75 and 11,966.23

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Solution

The fourth proportional to 21,397.64, 29,528.75 and 11,966.23 is: 16,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.64 : 29,528.75 = 11,966.23 : x
  2. Step 2: Convert to fraction form
    21,397.64/29,528.75 = 11,966.23/x
  3. Step 3: Cross multiply
    21,397.64x = 29,528.75 × 11,966.23
  4. Step 4: Simplify right side
    21,397.64x = 353,347,814.11
  5. Step 5: Solve for x
    x = 353,347,814.11/21,397.64
  6. Step 6: Final answer
    x = 16,513.40

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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.