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Finding the Fourth Proportional to 21,696.34, 32,534.52 and 8,177.98

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Solution

The fourth proportional to 21,696.34, 32,534.52 and 8,177.98 is: 12,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.34 : 32,534.52 = 8,177.98 : x
  2. Step 2: Convert to fraction form
    21,696.34/32,534.52 = 8,177.98/x
  3. Step 3: Cross multiply
    21,696.34x = 32,534.52 × 8,177.98
  4. Step 4: Simplify right side
    21,696.34x = 266,066,653.87
  5. Step 5: Solve for x
    x = 266,066,653.87/21,696.34
  6. Step 6: Final answer
    x = 12,263.20

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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.