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Finding the Fourth Proportional to 21,782.39, 32,676.89 and 7,746.98

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Solution

The fourth proportional to 21,782.39, 32,676.89 and 7,746.98 is: 11,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.39 : 32,676.89 = 7,746.98 : x
  2. Step 2: Convert to fraction form
    21,782.39/32,676.89 = 7,746.98/x
  3. Step 3: Cross multiply
    21,782.39x = 32,676.89 × 7,746.98
  4. Step 4: Simplify right side
    21,782.39x = 253,147,011.17
  5. Step 5: Solve for x
    x = 253,147,011.17/21,782.39
  6. Step 6: Final answer
    x = 11,621.64

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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.