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Finding the Fourth Proportional to 15,428.81, 21,292.16 and 9,463.77

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Solution

The fourth proportional to 15,428.81, 21,292.16 and 9,463.77 is: 13,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.81 : 21,292.16 = 9,463.77 : x
  2. Step 2: Convert to fraction form
    15,428.81/21,292.16 = 9,463.77/x
  3. Step 3: Cross multiply
    15,428.81x = 21,292.16 × 9,463.77
  4. Step 4: Simplify right side
    15,428.81x = 201,504,057.72
  5. Step 5: Solve for x
    x = 201,504,057.72/15,428.81
  6. Step 6: Final answer
    x = 13,060.24

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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.