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Finding the Fourth Proportional to 15,855.84, 21,883.77 and 9,140.27

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Solution

The fourth proportional to 15,855.84, 21,883.77 and 9,140.27 is: 12,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.84 : 21,883.77 = 9,140.27 : x
  2. Step 2: Convert to fraction form
    15,855.84/21,883.77 = 9,140.27/x
  3. Step 3: Cross multiply
    15,855.84x = 21,883.77 × 9,140.27
  4. Step 4: Simplify right side
    15,855.84x = 200,023,457.00
  5. Step 5: Solve for x
    x = 200,023,457.00/15,855.84
  6. Step 6: Final answer
    x = 12,615.13

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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.