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Finding the Fourth Proportional to 14,054.88, 19,395.12 and 8,464.80

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Solution

The fourth proportional to 14,054.88, 19,395.12 and 8,464.80 is: 11,681.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.88 : 19,395.12 = 8,464.80 : x
  2. Step 2: Convert to fraction form
    14,054.88/19,395.12 = 8,464.80/x
  3. Step 3: Cross multiply
    14,054.88x = 19,395.12 × 8,464.80
  4. Step 4: Simplify right side
    14,054.88x = 164,175,811.78
  5. Step 5: Solve for x
    x = 164,175,811.78/14,054.88
  6. Step 6: Final answer
    x = 11,681.05

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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.