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Finding the Fourth Proportional to 13,024.42, 19,513.95 and 7,818.82

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Solution

The fourth proportional to 13,024.42, 19,513.95 and 7,818.82 is: 11,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.42 : 19,513.95 = 7,818.82 : x
  2. Step 2: Convert to fraction form
    13,024.42/19,513.95 = 7,818.82/x
  3. Step 3: Cross multiply
    13,024.42x = 19,513.95 × 7,818.82
  4. Step 4: Simplify right side
    13,024.42x = 152,576,062.54
  5. Step 5: Solve for x
    x = 152,576,062.54/13,024.42
  6. Step 6: Final answer
    x = 11,714.61

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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.