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Finding the Fourth Proportional to 24,670.48, 37,004.64 and 7,141

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Solution

The fourth proportional to 24,670.48, 37,004.64 and 7,141 is: 10,711.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.48 : 37,004.64 = 7,141 : x
  2. Step 2: Convert to fraction form
    24,670.48/37,004.64 = 7,141/x
  3. Step 3: Cross multiply
    24,670.48x = 37,004.64 × 7,141
  4. Step 4: Simplify right side
    24,670.48x = 264,250,134.24
  5. Step 5: Solve for x
    x = 264,250,134.24/24,670.48
  6. Step 6: Final answer
    x = 10,711.19

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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.