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Finding the Fourth Proportional to 24,235.35, 36,353.88 and 6,706.50

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Solution

The fourth proportional to 24,235.35, 36,353.88 and 6,706.50 is: 10,059.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,235.35 : 36,353.88 = 6,706.50 : x
  2. Step 2: Convert to fraction form
    24,235.35/36,353.88 = 6,706.50/x
  3. Step 3: Cross multiply
    24,235.35x = 36,353.88 × 6,706.50
  4. Step 4: Simplify right side
    24,235.35x = 243,807,296.22
  5. Step 5: Solve for x
    x = 243,807,296.22/24,235.35
  6. Step 6: Final answer
    x = 10,059.99

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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.