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Finding the Fourth Proportional to 22,658.58, 31,268.70 and 12,586.77

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Solution

The fourth proportional to 22,658.58, 31,268.70 and 12,586.77 is: 17,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.58 : 31,268.70 = 12,586.77 : x
  2. Step 2: Convert to fraction form
    22,658.58/31,268.70 = 12,586.77/x
  3. Step 3: Cross multiply
    22,658.58x = 31,268.70 × 12,586.77
  4. Step 4: Simplify right side
    22,658.58x = 393,571,935.10
  5. Step 5: Solve for x
    x = 393,571,935.10/22,658.58
  6. Step 6: Final answer
    x = 17,369.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.