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Finding the Fourth Proportional to 24,094.69, 36,137.95 and 6,564.53

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Solution

The fourth proportional to 24,094.69, 36,137.95 and 6,564.53 is: 9,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.69 : 36,137.95 = 6,564.53 : x
  2. Step 2: Convert to fraction form
    24,094.69/36,137.95 = 6,564.53/x
  3. Step 3: Cross multiply
    24,094.69x = 36,137.95 × 6,564.53
  4. Step 4: Simplify right side
    24,094.69x = 237,228,730.85
  5. Step 5: Solve for x
    x = 237,228,730.85/24,094.69
  6. Step 6: Final answer
    x = 9,845.69

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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.