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Finding the Fourth Proportional to 21,237.50, 31,856.25 and 7,386.50

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Solution

The fourth proportional to 21,237.50, 31,856.25 and 7,386.50 is: 11,079.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,237.50 : 31,856.25 = 7,386.50 : x
  2. Step 2: Convert to fraction form
    21,237.50/31,856.25 = 7,386.50/x
  3. Step 3: Cross multiply
    21,237.50x = 31,856.25 × 7,386.50
  4. Step 4: Simplify right side
    21,237.50x = 235,306,190.63
  5. Step 5: Solve for x
    x = 235,306,190.63/21,237.50
  6. Step 6: Final answer
    x = 11,079.75

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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.