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Finding the Fourth Proportional to 19,762.08, 29,643.16 and 8,075.29

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Solution

The fourth proportional to 19,762.08, 29,643.16 and 8,075.29 is: 12,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.08 : 29,643.16 = 8,075.29 : x
  2. Step 2: Convert to fraction form
    19,762.08/29,643.16 = 8,075.29/x
  3. Step 3: Cross multiply
    19,762.08x = 29,643.16 × 8,075.29
  4. Step 4: Simplify right side
    19,762.08x = 239,377,207.81
  5. Step 5: Solve for x
    x = 239,377,207.81/19,762.08
  6. Step 6: Final answer
    x = 12,112.96

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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.