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Finding the Fourth Proportional to 24,670.34, 37,010.08 and 7,807.60

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Solution

The fourth proportional to 24,670.34, 37,010.08 and 7,807.60 is: 11,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.34 : 37,010.08 = 7,807.60 : x
  2. Step 2: Convert to fraction form
    24,670.34/37,010.08 = 7,807.60/x
  3. Step 3: Cross multiply
    24,670.34x = 37,010.08 × 7,807.60
  4. Step 4: Simplify right side
    24,670.34x = 288,959,676.52
  5. Step 5: Solve for x
    x = 288,959,676.52/24,670.34
  6. Step 6: Final answer
    x = 11,712.84

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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.