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Finding the Fourth Proportional to 21,439.34, 32,170.00 and 10,207.40

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Solution

The fourth proportional to 21,439.34, 32,170.00 and 10,207.40 is: 15,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,439.34 : 32,170.00 = 10,207.40 : x
  2. Step 2: Convert to fraction form
    21,439.34/32,170.00 = 10,207.40/x
  3. Step 3: Cross multiply
    21,439.34x = 32,170.00 × 10,207.40
  4. Step 4: Simplify right side
    21,439.34x = 328,371,871.63
  5. Step 5: Solve for x
    x = 328,371,871.63/21,439.34
  6. Step 6: Final answer
    x = 15,316.32

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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.