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Finding the Fourth Proportional to 21,642, 29,865.96 and 11,706

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Solution

The fourth proportional to 21,642, 29,865.96 and 11,706 is: 16,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642 : 29,865.96 = 11,706 : x
  2. Step 2: Convert to fraction form
    21,642/29,865.96 = 11,706/x
  3. Step 3: Cross multiply
    21,642x = 29,865.96 × 11,706
  4. Step 4: Simplify right side
    21,642x = 349,610,927.76
  5. Step 5: Solve for x
    x = 349,610,927.76/21,642
  6. Step 6: Final answer
    x = 16,154.28

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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.