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Finding the Fourth Proportional to 19,533.61, 29,301.77 and 7,846.82

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Solution

The fourth proportional to 19,533.61, 29,301.77 and 7,846.82 is: 11,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.61 : 29,301.77 = 7,846.82 : x
  2. Step 2: Convert to fraction form
    19,533.61/29,301.77 = 7,846.82/x
  3. Step 3: Cross multiply
    19,533.61x = 29,301.77 × 7,846.82
  4. Step 4: Simplify right side
    19,533.61x = 229,925,714.87
  5. Step 5: Solve for x
    x = 229,925,714.87/19,533.61
  6. Step 6: Final answer
    x = 11,770.77

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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.