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Finding the Fourth Proportional to 15,520, 21,417.42 and 8,446.30

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Solution

The fourth proportional to 15,520, 21,417.42 and 8,446.30 is: 11,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 21,417.42 = 8,446.30 : x
  2. Step 2: Convert to fraction form
    15,520/21,417.42 = 8,446.30/x
  3. Step 3: Cross multiply
    15,520x = 21,417.42 × 8,446.30
  4. Step 4: Simplify right side
    15,520x = 180,897,954.55
  5. Step 5: Solve for x
    x = 180,897,954.55/15,520
  6. Step 6: Final answer
    x = 11,655.80

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