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Finding the Fourth Proportional to 21,211.50, 31,831.86 and 7,360.50

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Solution

The fourth proportional to 21,211.50, 31,831.86 and 7,360.50 is: 11,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.50 : 31,831.86 = 7,360.50 : x
  2. Step 2: Convert to fraction form
    21,211.50/31,831.86 = 7,360.50/x
  3. Step 3: Cross multiply
    21,211.50x = 31,831.86 × 7,360.50
  4. Step 4: Simplify right side
    21,211.50x = 234,298,405.53
  5. Step 5: Solve for x
    x = 234,298,405.53/21,211.50
  6. Step 6: Final answer
    x = 11,045.82

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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.