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Finding the Fourth Proportional to 15,638.94, 21,580.83 and 8,564.13

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Solution

The fourth proportional to 15,638.94, 21,580.83 and 8,564.13 is: 11,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.94 : 21,580.83 = 8,564.13 : x
  2. Step 2: Convert to fraction form
    15,638.94/21,580.83 = 8,564.13/x
  3. Step 3: Cross multiply
    15,638.94x = 21,580.83 × 8,564.13
  4. Step 4: Simplify right side
    15,638.94x = 184,821,033.63
  5. Step 5: Solve for x
    x = 184,821,033.63/15,638.94
  6. Step 6: Final answer
    x = 11,818.00

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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.