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Finding the Fourth Proportional to 15,685.90, 21,646.55 and 8,515.81

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Solution

The fourth proportional to 15,685.90, 21,646.55 and 8,515.81 is: 11,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.90 : 21,646.55 = 8,515.81 : x
  2. Step 2: Convert to fraction form
    15,685.90/21,646.55 = 8,515.81/x
  3. Step 3: Cross multiply
    15,685.90x = 21,646.55 × 8,515.81
  4. Step 4: Simplify right side
    15,685.90x = 184,337,874.13
  5. Step 5: Solve for x
    x = 184,337,874.13/15,685.90
  6. Step 6: Final answer
    x = 11,751.82

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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.