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Finding the Fourth Proportional to 30,585.12, 45,875.62 and 8,396.65

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Solution

The fourth proportional to 30,585.12, 45,875.62 and 8,396.65 is: 12,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585.12 : 45,875.62 = 8,396.65 : x
  2. Step 2: Convert to fraction form
    30,585.12/45,875.62 = 8,396.65/x
  3. Step 3: Cross multiply
    30,585.12x = 45,875.62 × 8,396.65
  4. Step 4: Simplify right side
    30,585.12x = 385,201,524.67
  5. Step 5: Solve for x
    x = 385,201,524.67/30,585.12
  6. Step 6: Final answer
    x = 12,594.41

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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.