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Finding the Fourth Proportional to 14,586.09, 21,878.08 and 5,699.75

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Solution

The fourth proportional to 14,586.09, 21,878.08 and 5,699.75 is: 8,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.09 : 21,878.08 = 5,699.75 : x
  2. Step 2: Convert to fraction form
    14,586.09/21,878.08 = 5,699.75/x
  3. Step 3: Cross multiply
    14,586.09x = 21,878.08 × 5,699.75
  4. Step 4: Simplify right side
    14,586.09x = 124,699,572.23
  5. Step 5: Solve for x
    x = 124,699,572.23/14,586.09
  6. Step 6: Final answer
    x = 8,549.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.