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Finding the Fourth Proportional to 14,381.08, 19,845.70 and 8,007.50

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Solution

The fourth proportional to 14,381.08, 19,845.70 and 8,007.50 is: 11,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.08 : 19,845.70 = 8,007.50 : x
  2. Step 2: Convert to fraction form
    14,381.08/19,845.70 = 8,007.50/x
  3. Step 3: Cross multiply
    14,381.08x = 19,845.70 × 8,007.50
  4. Step 4: Simplify right side
    14,381.08x = 158,914,442.75
  5. Step 5: Solve for x
    x = 158,914,442.75/14,381.08
  6. Step 6: Final answer
    x = 11,050.24

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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.