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Finding the Fourth Proportional to 21,088, 29,101.74 and 11,656.56

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Solution

The fourth proportional to 21,088, 29,101.74 and 11,656.56 is: 16,086.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088 : 29,101.74 = 11,656.56 : x
  2. Step 2: Convert to fraction form
    21,088/29,101.74 = 11,656.56/x
  3. Step 3: Cross multiply
    21,088x = 29,101.74 × 11,656.56
  4. Step 4: Simplify right side
    21,088x = 339,226,178.41
  5. Step 5: Solve for x
    x = 339,226,178.41/21,088
  6. Step 6: Final answer
    x = 16,086.22

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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.