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Finding the Fourth Proportional to 19,699.66, 29,561.79 and 8,012.88

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Solution

The fourth proportional to 19,699.66, 29,561.79 and 8,012.88 is: 12,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,699.66 : 29,561.79 = 8,012.88 : x
  2. Step 2: Convert to fraction form
    19,699.66/29,561.79 = 8,012.88/x
  3. Step 3: Cross multiply
    19,699.66x = 29,561.79 × 8,012.88
  4. Step 4: Simplify right side
    19,699.66x = 236,875,075.86
  5. Step 5: Solve for x
    x = 236,875,075.86/19,699.66
  6. Step 6: Final answer
    x = 12,024.32

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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.