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Finding the Fourth Proportional to 14,389.42, 19,855.62 and 8,419.72

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Solution

The fourth proportional to 14,389.42, 19,855.62 and 8,419.72 is: 11,618.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.42 : 19,855.62 = 8,419.72 : x
  2. Step 2: Convert to fraction form
    14,389.42/19,855.62 = 8,419.72/x
  3. Step 3: Cross multiply
    14,389.42x = 19,855.62 × 8,419.72
  4. Step 4: Simplify right side
    14,389.42x = 167,178,760.83
  5. Step 5: Solve for x
    x = 167,178,760.83/14,389.42
  6. Step 6: Final answer
    x = 11,618.17

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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.