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Finding the Fourth Proportional to 21,059.41, 31,590.64 and 6,065.90

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Solution

The fourth proportional to 21,059.41, 31,590.64 and 6,065.90 is: 9,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,059.41 : 31,590.64 = 6,065.90 : x
  2. Step 2: Convert to fraction form
    21,059.41/31,590.64 = 6,065.90/x
  3. Step 3: Cross multiply
    21,059.41x = 31,590.64 × 6,065.90
  4. Step 4: Simplify right side
    21,059.41x = 191,625,808.97
  5. Step 5: Solve for x
    x = 191,625,808.97/21,059.41
  6. Step 6: Final answer
    x = 9,099.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.