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Finding the Fourth Proportional to 13,024.50, 19,494.82 and 8,585.83

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Solution

The fourth proportional to 13,024.50, 19,494.82 and 8,585.83 is: 12,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.50 : 19,494.82 = 8,585.83 : x
  2. Step 2: Convert to fraction form
    13,024.50/19,494.82 = 8,585.83/x
  3. Step 3: Cross multiply
    13,024.50x = 19,494.82 × 8,585.83
  4. Step 4: Simplify right side
    13,024.50x = 167,379,210.40
  5. Step 5: Solve for x
    x = 167,379,210.40/13,024.50
  6. Step 6: Final answer
    x = 12,851.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.