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Finding the Fourth Proportional to 15,634.67, 21,575.85 and 8,464.59

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Solution

The fourth proportional to 15,634.67, 21,575.85 and 8,464.59 is: 11,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.67 : 21,575.85 = 8,464.59 : x
  2. Step 2: Convert to fraction form
    15,634.67/21,575.85 = 8,464.59/x
  3. Step 3: Cross multiply
    15,634.67x = 21,575.85 × 8,464.59
  4. Step 4: Simplify right side
    15,634.67x = 182,630,667.41
  5. Step 5: Solve for x
    x = 182,630,667.41/15,634.67
  6. Step 6: Final answer
    x = 11,681.14

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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.