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Finding the Fourth Proportional to 14,357.50, 19,811.58 and 8,384.83

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Solution

The fourth proportional to 14,357.50, 19,811.58 and 8,384.83 is: 11,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.50 : 19,811.58 = 8,384.83 : x
  2. Step 2: Convert to fraction form
    14,357.50/19,811.58 = 8,384.83/x
  3. Step 3: Cross multiply
    14,357.50x = 19,811.58 × 8,384.83
  4. Step 4: Simplify right side
    14,357.50x = 166,116,730.33
  5. Step 5: Solve for x
    x = 166,116,730.33/14,357.50
  6. Step 6: Final answer
    x = 11,570.03

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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.