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Finding the Fourth Proportional to 21,098.16, 29,113.56 and 11,666.16

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Solution

The fourth proportional to 21,098.16, 29,113.56 and 11,666.16 is: 16,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.16 : 29,113.56 = 11,666.16 : x
  2. Step 2: Convert to fraction form
    21,098.16/29,113.56 = 11,666.16/x
  3. Step 3: Cross multiply
    21,098.16x = 29,113.56 × 11,666.16
  4. Step 4: Simplify right side
    21,098.16x = 339,643,449.13
  5. Step 5: Solve for x
    x = 339,643,449.13/21,098.16
  6. Step 6: Final answer
    x = 16,098.25

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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.