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Finding the Fourth Proportional to 12,565.53, 18,823.59 and 6,318

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Solution

The fourth proportional to 12,565.53, 18,823.59 and 6,318 is: 9,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.53 : 18,823.59 = 6,318 : x
  2. Step 2: Convert to fraction form
    12,565.53/18,823.59 = 6,318/x
  3. Step 3: Cross multiply
    12,565.53x = 18,823.59 × 6,318
  4. Step 4: Simplify right side
    12,565.53x = 118,927,441.62
  5. Step 5: Solve for x
    x = 118,927,441.62/12,565.53
  6. Step 6: Final answer
    x = 9,464.58

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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.