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Finding the Fourth Proportional to 12,813.71, 19,220.63 and 4,048.65

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Solution

The fourth proportional to 12,813.71, 19,220.63 and 4,048.65 is: 6,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.71 : 19,220.63 = 4,048.65 : x
  2. Step 2: Convert to fraction form
    12,813.71/19,220.63 = 4,048.65/x
  3. Step 3: Cross multiply
    12,813.71x = 19,220.63 × 4,048.65
  4. Step 4: Simplify right side
    12,813.71x = 77,817,583.41
  5. Step 5: Solve for x
    x = 77,817,583.41/12,813.71
  6. Step 6: Final answer
    x = 6,073.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.