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Finding the Fourth Proportional to 24,686.10, 37,037.79 and 7,156.98

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Solution

The fourth proportional to 24,686.10, 37,037.79 and 7,156.98 is: 10,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,686.10 : 37,037.79 = 7,156.98 : x
  2. Step 2: Convert to fraction form
    24,686.10/37,037.79 = 7,156.98/x
  3. Step 3: Cross multiply
    24,686.10x = 37,037.79 × 7,156.98
  4. Step 4: Simplify right side
    24,686.10x = 265,078,722.27
  5. Step 5: Solve for x
    x = 265,078,722.27/24,686.10
  6. Step 6: Final answer
    x = 10,737.97

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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.