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Finding the Fourth Proportional to 15,436.42, 21,302.66 and 9,464.65

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Solution

The fourth proportional to 15,436.42, 21,302.66 and 9,464.65 is: 13,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,436.42 : 21,302.66 = 9,464.65 : x
  2. Step 2: Convert to fraction form
    15,436.42/21,302.66 = 9,464.65/x
  3. Step 3: Cross multiply
    15,436.42x = 21,302.66 × 9,464.65
  4. Step 4: Simplify right side
    15,436.42x = 201,622,067.13
  5. Step 5: Solve for x
    x = 201,622,067.13/15,436.42
  6. Step 6: Final answer
    x = 13,061.46

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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.