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Finding the Fourth Proportional to 14,556.60, 21,824.10 and 4,690.20

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Solution

The fourth proportional to 14,556.60, 21,824.10 and 4,690.20 is: 7,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.60 : 21,824.10 = 4,690.20 : x
  2. Step 2: Convert to fraction form
    14,556.60/21,824.10 = 4,690.20/x
  3. Step 3: Cross multiply
    14,556.60x = 21,824.10 × 4,690.20
  4. Step 4: Simplify right side
    14,556.60x = 102,359,393.82
  5. Step 5: Solve for x
    x = 102,359,393.82/14,556.60
  6. Step 6: Final answer
    x = 7,031.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.