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Finding the Fourth Proportional to 21,931.84, 32,897.76 and 7,142.26

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Solution

The fourth proportional to 21,931.84, 32,897.76 and 7,142.26 is: 10,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,931.84 : 32,897.76 = 7,142.26 : x
  2. Step 2: Convert to fraction form
    21,931.84/32,897.76 = 7,142.26/x
  3. Step 3: Cross multiply
    21,931.84x = 32,897.76 × 7,142.26
  4. Step 4: Simplify right side
    21,931.84x = 234,964,355.34
  5. Step 5: Solve for x
    x = 234,964,355.34/21,931.84
  6. Step 6: Final answer
    x = 10,713.39

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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.