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Finding the Fourth Proportional to 21,188, 31,767.96 and 10,096.40

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Solution

The fourth proportional to 21,188, 31,767.96 and 10,096.40 is: 15,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188 : 31,767.96 = 10,096.40 : x
  2. Step 2: Convert to fraction form
    21,188/31,767.96 = 10,096.40/x
  3. Step 3: Cross multiply
    21,188x = 31,767.96 × 10,096.40
  4. Step 4: Simplify right side
    21,188x = 320,742,031.34
  5. Step 5: Solve for x
    x = 320,742,031.34/21,188
  6. Step 6: Final answer
    x = 15,137.91

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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.