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Finding the Fourth Proportional to 19,805.09, 29,650.19 and 15,409.22

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Solution

The fourth proportional to 19,805.09, 29,650.19 and 15,409.22 is: 23,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.09 : 29,650.19 = 15,409.22 : x
  2. Step 2: Convert to fraction form
    19,805.09/29,650.19 = 15,409.22/x
  3. Step 3: Cross multiply
    19,805.09x = 29,650.19 × 15,409.22
  4. Step 4: Simplify right side
    19,805.09x = 456,886,075.45
  5. Step 5: Solve for x
    x = 456,886,075.45/19,805.09
  6. Step 6: Final answer
    x = 23,069.13

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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.