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Finding the Fourth Proportional to 12,670.38, 19,005.57 and 5,648.58

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Solution

The fourth proportional to 12,670.38, 19,005.57 and 5,648.58 is: 8,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.38 : 19,005.57 = 5,648.58 : x
  2. Step 2: Convert to fraction form
    12,670.38/19,005.57 = 5,648.58/x
  3. Step 3: Cross multiply
    12,670.38x = 19,005.57 × 5,648.58
  4. Step 4: Simplify right side
    12,670.38x = 107,354,482.59
  5. Step 5: Solve for x
    x = 107,354,482.59/12,670.38
  6. Step 6: Final answer
    x = 8,472.87

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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.