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Finding the Fourth Proportional to 14,291.72, 19,715.98 and 9,257.61

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Solution

The fourth proportional to 14,291.72, 19,715.98 and 9,257.61 is: 12,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.72 : 19,715.98 = 9,257.61 : x
  2. Step 2: Convert to fraction form
    14,291.72/19,715.98 = 9,257.61/x
  3. Step 3: Cross multiply
    14,291.72x = 19,715.98 × 9,257.61
  4. Step 4: Simplify right side
    14,291.72x = 182,522,853.61
  5. Step 5: Solve for x
    x = 182,522,853.61/14,291.72
  6. Step 6: Final answer
    x = 12,771.23

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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.