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Finding the Fourth Proportional to 24,475.64, 36,712.98 and 7,835.74

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Solution

The fourth proportional to 24,475.64, 36,712.98 and 7,835.74 is: 11,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,475.64 : 36,712.98 = 7,835.74 : x
  2. Step 2: Convert to fraction form
    24,475.64/36,712.98 = 7,835.74/x
  3. Step 3: Cross multiply
    24,475.64x = 36,712.98 × 7,835.74
  4. Step 4: Simplify right side
    24,475.64x = 287,673,274.12
  5. Step 5: Solve for x
    x = 287,673,274.12/24,475.64
  6. Step 6: Final answer
    x = 11,753.45

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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.