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Finding the Fourth Proportional to 12,821, 19,226.88 and 4,498.88

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Solution

The fourth proportional to 12,821, 19,226.88 and 4,498.88 is: 6,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821 : 19,226.88 = 4,498.88 : x
  2. Step 2: Convert to fraction form
    12,821/19,226.88 = 4,498.88/x
  3. Step 3: Cross multiply
    12,821x = 19,226.88 × 4,498.88
  4. Step 4: Simplify right side
    12,821x = 86,499,425.89
  5. Step 5: Solve for x
    x = 86,499,425.89/12,821
  6. Step 6: Final answer
    x = 6,746.70

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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.