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Finding the Fourth Proportional to 14,291.87, 19,718.19 and 9,259.94

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Solution

The fourth proportional to 14,291.87, 19,718.19 and 9,259.94 is: 12,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,291.87 : 19,718.19 = 9,259.94 : x
  2. Step 2: Convert to fraction form
    14,291.87/19,718.19 = 9,259.94/x
  3. Step 3: Cross multiply
    14,291.87x = 19,718.19 × 9,259.94
  4. Step 4: Simplify right side
    14,291.87x = 182,589,305.60
  5. Step 5: Solve for x
    x = 182,589,305.60/14,291.87
  6. Step 6: Final answer
    x = 12,775.75

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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.