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Finding the Fourth Proportional to 12,821.52, 19,234.02 and 4,499.58

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Solution

The fourth proportional to 12,821.52, 19,234.02 and 4,499.58 is: 6,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.52 : 19,234.02 = 4,499.58 : x
  2. Step 2: Convert to fraction form
    12,821.52/19,234.02 = 4,499.58/x
  3. Step 3: Cross multiply
    12,821.52x = 19,234.02 × 4,499.58
  4. Step 4: Simplify right side
    12,821.52x = 86,545,011.71
  5. Step 5: Solve for x
    x = 86,545,011.71/12,821.52
  6. Step 6: Final answer
    x = 6,749.98

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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.