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Finding the Fourth Proportional to 14,044.08, 19,384.24 and 8,454

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Solution

The fourth proportional to 14,044.08, 19,384.24 and 8,454 is: 11,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.08 : 19,384.24 = 8,454 : x
  2. Step 2: Convert to fraction form
    14,044.08/19,384.24 = 8,454/x
  3. Step 3: Cross multiply
    14,044.08x = 19,384.24 × 8,454
  4. Step 4: Simplify right side
    14,044.08x = 163,874,364.96
  5. Step 5: Solve for x
    x = 163,874,364.96/14,044.08
  6. Step 6: Final answer
    x = 11,668.57

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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.