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Finding the Fourth Proportional to 15,075.21, 20,804.31 and 9,105.69

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Solution

The fourth proportional to 15,075.21, 20,804.31 and 9,105.69 is: 12,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,075.21 : 20,804.31 = 9,105.69 : x
  2. Step 2: Convert to fraction form
    15,075.21/20,804.31 = 9,105.69/x
  3. Step 3: Cross multiply
    15,075.21x = 20,804.31 × 9,105.69
  4. Step 4: Simplify right side
    15,075.21x = 189,437,597.52
  5. Step 5: Solve for x
    x = 189,437,597.52/15,075.21
  6. Step 6: Final answer
    x = 12,566.17

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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.