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Finding the Fourth Proportional to 19,478.16, 29,189.52 and 15,075

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Solution

The fourth proportional to 19,478.16, 29,189.52 and 15,075 is: 22,591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478.16 : 29,189.52 = 15,075 : x
  2. Step 2: Convert to fraction form
    19,478.16/29,189.52 = 15,075/x
  3. Step 3: Cross multiply
    19,478.16x = 29,189.52 × 15,075
  4. Step 4: Simplify right side
    19,478.16x = 440,032,014
  5. Step 5: Solve for x
    x = 440,032,014/19,478.16
  6. Step 6: Final answer
    x = 22,591.05

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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.