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Finding the Fourth Proportional to 14,585.88, 21,885.75 and 7,196.61

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Solution

The fourth proportional to 14,585.88, 21,885.75 and 7,196.61 is: 10,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,585.88 : 21,885.75 = 7,196.61 : x
  2. Step 2: Convert to fraction form
    14,585.88/21,885.75 = 7,196.61/x
  3. Step 3: Cross multiply
    14,585.88x = 21,885.75 × 7,196.61
  4. Step 4: Simplify right side
    14,585.88x = 157,503,207.31
  5. Step 5: Solve for x
    x = 157,503,207.31/14,585.88
  6. Step 6: Final answer
    x = 10,798.33

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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.