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Finding the Fourth Proportional to 21,200.13, 31,801.14 and 6,411.15

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Solution

The fourth proportional to 21,200.13, 31,801.14 and 6,411.15 is: 9,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.13 : 31,801.14 = 6,411.15 : x
  2. Step 2: Convert to fraction form
    21,200.13/31,801.14 = 6,411.15/x
  3. Step 3: Cross multiply
    21,200.13x = 31,801.14 × 6,411.15
  4. Step 4: Simplify right side
    21,200.13x = 203,881,878.71
  5. Step 5: Solve for x
    x = 203,881,878.71/21,200.13
  6. Step 6: Final answer
    x = 9,617.01

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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.