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Finding the Fourth Proportional to 13,690.76, 18,897.29 and 8,026.74

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Solution

The fourth proportional to 13,690.76, 18,897.29 and 8,026.74 is: 11,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.76 : 18,897.29 = 8,026.74 : x
  2. Step 2: Convert to fraction form
    13,690.76/18,897.29 = 8,026.74/x
  3. Step 3: Cross multiply
    13,690.76x = 18,897.29 × 8,026.74
  4. Step 4: Simplify right side
    13,690.76x = 151,683,498.91
  5. Step 5: Solve for x
    x = 151,683,498.91/13,690.76
  6. Step 6: Final answer
    x = 11,079.26

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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.