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Finding the Fourth Proportional to 16,565.32, 24,848.15 and 4,878.54

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Solution

The fourth proportional to 16,565.32, 24,848.15 and 4,878.54 is: 7,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.32 : 24,848.15 = 4,878.54 : x
  2. Step 2: Convert to fraction form
    16,565.32/24,848.15 = 4,878.54/x
  3. Step 3: Cross multiply
    16,565.32x = 24,848.15 × 4,878.54
  4. Step 4: Simplify right side
    16,565.32x = 121,222,545.07
  5. Step 5: Solve for x
    x = 121,222,545.07/16,565.32
  6. Step 6: Final answer
    x = 7,317.85

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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.