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Finding the Fourth Proportional to 21,887.34, 32,838.30 and 7,096.74

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Solution

The fourth proportional to 21,887.34, 32,838.30 and 7,096.74 is: 10,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887.34 : 32,838.30 = 7,096.74 : x
  2. Step 2: Convert to fraction form
    21,887.34/32,838.30 = 7,096.74/x
  3. Step 3: Cross multiply
    21,887.34x = 32,838.30 × 7,096.74
  4. Step 4: Simplify right side
    21,887.34x = 233,044,877.14
  5. Step 5: Solve for x
    x = 233,044,877.14/21,887.34
  6. Step 6: Final answer
    x = 10,647.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.