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Finding the Fourth Proportional to 21,608.66, 32,417.54 and 9,136.38

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Solution

The fourth proportional to 21,608.66, 32,417.54 and 9,136.38 is: 13,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,608.66 : 32,417.54 = 9,136.38 : x
  2. Step 2: Convert to fraction form
    21,608.66/32,417.54 = 9,136.38/x
  3. Step 3: Cross multiply
    21,608.66x = 32,417.54 × 9,136.38
  4. Step 4: Simplify right side
    21,608.66x = 296,178,986.95
  5. Step 5: Solve for x
    x = 296,178,986.95/21,608.66
  6. Step 6: Final answer
    x = 13,706.50

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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.