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Finding the Fourth Proportional to 15,719.38, 21,692.74 and 8,646.26

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Solution

The fourth proportional to 15,719.38, 21,692.74 and 8,646.26 is: 11,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.38 : 21,692.74 = 8,646.26 : x
  2. Step 2: Convert to fraction form
    15,719.38/21,692.74 = 8,646.26/x
  3. Step 3: Cross multiply
    15,719.38x = 21,692.74 × 8,646.26
  4. Step 4: Simplify right side
    15,719.38x = 187,561,070.15
  5. Step 5: Solve for x
    x = 187,561,070.15/15,719.38
  6. Step 6: Final answer
    x = 11,931.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.