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Finding the Fourth Proportional to 21,038.10, 31,562.02 and 6,246.70

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Solution

The fourth proportional to 21,038.10, 31,562.02 and 6,246.70 is: 9,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.10 : 31,562.02 = 6,246.70 : x
  2. Step 2: Convert to fraction form
    21,038.10/31,562.02 = 6,246.70/x
  3. Step 3: Cross multiply
    21,038.10x = 31,562.02 × 6,246.70
  4. Step 4: Simplify right side
    21,038.10x = 197,158,470.33
  5. Step 5: Solve for x
    x = 197,158,470.33/21,038.10
  6. Step 6: Final answer
    x = 9,371.50

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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.