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Finding the Fourth Proportional to 14,721.83, 20,316.65 and 8,435.42

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Solution

The fourth proportional to 14,721.83, 20,316.65 and 8,435.42 is: 11,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721.83 : 20,316.65 = 8,435.42 : x
  2. Step 2: Convert to fraction form
    14,721.83/20,316.65 = 8,435.42/x
  3. Step 3: Cross multiply
    14,721.83x = 20,316.65 × 8,435.42
  4. Step 4: Simplify right side
    14,721.83x = 171,379,331.98
  5. Step 5: Solve for x
    x = 171,379,331.98/14,721.83
  6. Step 6: Final answer
    x = 11,641.17

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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.