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Finding the Fourth Proportional to 14,044.30, 19,384.86 and 8,076.63

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Solution

The fourth proportional to 14,044.30, 19,384.86 and 8,076.63 is: 11,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.30 : 19,384.86 = 8,076.63 : x
  2. Step 2: Convert to fraction form
    14,044.30/19,384.86 = 8,076.63/x
  3. Step 3: Cross multiply
    14,044.30x = 19,384.86 × 8,076.63
  4. Step 4: Simplify right side
    14,044.30x = 156,564,341.82
  5. Step 5: Solve for x
    x = 156,564,341.82/14,044.30
  6. Step 6: Final answer
    x = 11,147.89

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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.