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Finding the Fourth Proportional to 14,085.76, 19,433.28 and 8,494.72

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Solution

The fourth proportional to 14,085.76, 19,433.28 and 8,494.72 is: 11,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.76 : 19,433.28 = 8,494.72 : x
  2. Step 2: Convert to fraction form
    14,085.76/19,433.28 = 8,494.72/x
  3. Step 3: Cross multiply
    14,085.76x = 19,433.28 × 8,494.72
  4. Step 4: Simplify right side
    14,085.76x = 165,080,272.28
  5. Step 5: Solve for x
    x = 165,080,272.28/14,085.76
  6. Step 6: Final answer
    x = 11,719.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.