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Finding the Fourth Proportional to 21,323.93, 31,984.98 and 7,285.21

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Solution

The fourth proportional to 21,323.93, 31,984.98 and 7,285.21 is: 10,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,323.93 : 31,984.98 = 7,285.21 : x
  2. Step 2: Convert to fraction form
    21,323.93/31,984.98 = 7,285.21/x
  3. Step 3: Cross multiply
    21,323.93x = 31,984.98 × 7,285.21
  4. Step 4: Simplify right side
    21,323.93x = 233,017,296.15
  5. Step 5: Solve for x
    x = 233,017,296.15/21,323.93
  6. Step 6: Final answer
    x = 10,927.50

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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.