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Finding the Fourth Proportional to 15,074.08, 22,619.76 and 8,416.16

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Solution

The fourth proportional to 15,074.08, 22,619.76 and 8,416.16 is: 12,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.08 : 22,619.76 = 8,416.16 : x
  2. Step 2: Convert to fraction form
    15,074.08/22,619.76 = 8,416.16/x
  3. Step 3: Cross multiply
    15,074.08x = 22,619.76 × 8,416.16
  4. Step 4: Simplify right side
    15,074.08x = 190,371,519.32
  5. Step 5: Solve for x
    x = 190,371,519.32/15,074.08
  6. Step 6: Final answer
    x = 12,629.06

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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.