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Finding the Fourth Proportional to 21,159.92, 29,199.47 and 11,597.94

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Solution

The fourth proportional to 21,159.92, 29,199.47 and 11,597.94 is: 16,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.92 : 29,199.47 = 11,597.94 : x
  2. Step 2: Convert to fraction form
    21,159.92/29,199.47 = 11,597.94/x
  3. Step 3: Cross multiply
    21,159.92x = 29,199.47 × 11,597.94
  4. Step 4: Simplify right side
    21,159.92x = 338,653,643.10
  5. Step 5: Solve for x
    x = 338,653,643.10/21,159.92
  6. Step 6: Final answer
    x = 16,004.49

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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.