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Finding the Fourth Proportional to 19,657.94, 27,127.22 and 10,705.23

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Solution

The fourth proportional to 19,657.94, 27,127.22 and 10,705.23 is: 14,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.94 : 27,127.22 = 10,705.23 : x
  2. Step 2: Convert to fraction form
    19,657.94/27,127.22 = 10,705.23/x
  3. Step 3: Cross multiply
    19,657.94x = 27,127.22 × 10,705.23
  4. Step 4: Simplify right side
    19,657.94x = 290,403,075.83
  5. Step 5: Solve for x
    x = 290,403,075.83/19,657.94
  6. Step 6: Final answer
    x = 14,772.82

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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.