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Finding the Fourth Proportional to 25,384.44, 38,075.94 and 9,805.44

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Solution

The fourth proportional to 25,384.44, 38,075.94 and 9,805.44 is: 14,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384.44 : 38,075.94 = 9,805.44 : x
  2. Step 2: Convert to fraction form
    25,384.44/38,075.94 = 9,805.44/x
  3. Step 3: Cross multiply
    25,384.44x = 38,075.94 × 9,805.44
  4. Step 4: Simplify right side
    25,384.44x = 373,351,345.11
  5. Step 5: Solve for x
    x = 373,351,345.11/25,384.44
  6. Step 6: Final answer
    x = 14,707.88

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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.