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Finding the Fourth Proportional to 21,335.16, 32,002.50 and 9,640.20

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Solution

The fourth proportional to 21,335.16, 32,002.50 and 9,640.20 is: 14,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.16 : 32,002.50 = 9,640.20 : x
  2. Step 2: Convert to fraction form
    21,335.16/32,002.50 = 9,640.20/x
  3. Step 3: Cross multiply
    21,335.16x = 32,002.50 × 9,640.20
  4. Step 4: Simplify right side
    21,335.16x = 308,510,500.50
  5. Step 5: Solve for x
    x = 308,510,500.50/21,335.16
  6. Step 6: Final answer
    x = 14,460.19

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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.