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Finding the Fourth Proportional to 24,804.34, 37,210.32 and 8,160.47

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Solution

The fourth proportional to 24,804.34, 37,210.32 and 8,160.47 is: 12,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.34 : 37,210.32 = 8,160.47 : x
  2. Step 2: Convert to fraction form
    24,804.34/37,210.32 = 8,160.47/x
  3. Step 3: Cross multiply
    24,804.34x = 37,210.32 × 8,160.47
  4. Step 4: Simplify right side
    24,804.34x = 303,653,792.62
  5. Step 5: Solve for x
    x = 303,653,792.62/24,804.34
  6. Step 6: Final answer
    x = 12,241.96

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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.