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Finding the Fourth Proportional to 24,389.17, 36,594.32 and 8,605.50

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Solution

The fourth proportional to 24,389.17, 36,594.32 and 8,605.50 is: 12,911.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.17 : 36,594.32 = 8,605.50 : x
  2. Step 2: Convert to fraction form
    24,389.17/36,594.32 = 8,605.50/x
  3. Step 3: Cross multiply
    24,389.17x = 36,594.32 × 8,605.50
  4. Step 4: Simplify right side
    24,389.17x = 314,912,420.76
  5. Step 5: Solve for x
    x = 314,912,420.76/24,389.17
  6. Step 6: Final answer
    x = 12,911.98

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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.