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Finding the Fourth Proportional to 14,326.17, 19,771.92 and 8,038.50

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Solution

The fourth proportional to 14,326.17, 19,771.92 and 8,038.50 is: 11,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.17 : 19,771.92 = 8,038.50 : x
  2. Step 2: Convert to fraction form
    14,326.17/19,771.92 = 8,038.50/x
  3. Step 3: Cross multiply
    14,326.17x = 19,771.92 × 8,038.50
  4. Step 4: Simplify right side
    14,326.17x = 158,936,578.92
  5. Step 5: Solve for x
    x = 158,936,578.92/14,326.17
  6. Step 6: Final answer
    x = 11,094.14

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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.