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Finding the Fourth Proportional to 16,319.60, 22,519.50 and 9,246

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Solution

The fourth proportional to 16,319.60, 22,519.50 and 9,246 is: 12,758.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.60 : 22,519.50 = 9,246 : x
  2. Step 2: Convert to fraction form
    16,319.60/22,519.50 = 9,246/x
  3. Step 3: Cross multiply
    16,319.60x = 22,519.50 × 9,246
  4. Step 4: Simplify right side
    16,319.60x = 208,215,297
  5. Step 5: Solve for x
    x = 208,215,297/16,319.60
  6. Step 6: Final answer
    x = 12,758.60

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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.