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Finding the Fourth Proportional to 15,574.84, 23,369.12 and 8,177.58

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Solution

The fourth proportional to 15,574.84, 23,369.12 and 8,177.58 is: 12,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.84 : 23,369.12 = 8,177.58 : x
  2. Step 2: Convert to fraction form
    15,574.84/23,369.12 = 8,177.58/x
  3. Step 3: Cross multiply
    15,574.84x = 23,369.12 × 8,177.58
  4. Step 4: Simplify right side
    15,574.84x = 191,102,848.33
  5. Step 5: Solve for x
    x = 191,102,848.33/15,574.84
  6. Step 6: Final answer
    x = 12,269.97

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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.