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Finding the Fourth Proportional to 15,690, 21,654.12 and 9,066

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Solution

The fourth proportional to 15,690, 21,654.12 and 9,066 is: 12,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,690 : 21,654.12 = 9,066 : x
  2. Step 2: Convert to fraction form
    15,690/21,654.12 = 9,066/x
  3. Step 3: Cross multiply
    15,690x = 21,654.12 × 9,066
  4. Step 4: Simplify right side
    15,690x = 196,316,251.92
  5. Step 5: Solve for x
    x = 196,316,251.92/15,690
  6. Step 6: Final answer
    x = 12,512.19

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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.