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Finding the Fourth Proportional to 24,730.50, 37,101.58 and 8,090.46

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Solution

The fourth proportional to 24,730.50, 37,101.58 and 8,090.46 is: 12,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.50 : 37,101.58 = 8,090.46 : x
  2. Step 2: Convert to fraction form
    24,730.50/37,101.58 = 8,090.46/x
  3. Step 3: Cross multiply
    24,730.50x = 37,101.58 × 8,090.46
  4. Step 4: Simplify right side
    24,730.50x = 300,168,848.93
  5. Step 5: Solve for x
    x = 300,168,848.93/24,730.50
  6. Step 6: Final answer
    x = 12,137.60

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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.