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Finding the Fourth Proportional to 24,911.64, 37,373.52 and 7,142.64

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Solution

The fourth proportional to 24,911.64, 37,373.52 and 7,142.64 is: 10,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.64 : 37,373.52 = 7,142.64 : x
  2. Step 2: Convert to fraction form
    24,911.64/37,373.52 = 7,142.64/x
  3. Step 3: Cross multiply
    24,911.64x = 37,373.52 × 7,142.64
  4. Step 4: Simplify right side
    24,911.64x = 266,945,598.89
  5. Step 5: Solve for x
    x = 266,945,598.89/24,911.64
  6. Step 6: Final answer
    x = 10,715.70

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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.