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Finding the Fourth Proportional to 21,224.86, 31,836.93 and 7,373.50

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Solution

The fourth proportional to 21,224.86, 31,836.93 and 7,373.50 is: 11,060.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224.86 : 31,836.93 = 7,373.50 : x
  2. Step 2: Convert to fraction form
    21,224.86/31,836.93 = 7,373.50/x
  3. Step 3: Cross multiply
    21,224.86x = 31,836.93 × 7,373.50
  4. Step 4: Simplify right side
    21,224.86x = 234,749,603.36
  5. Step 5: Solve for x
    x = 234,749,603.36/21,224.86
  6. Step 6: Final answer
    x = 11,060.12

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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.