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Finding the Fourth Proportional to 10,425.54, 15,694.64 and 9,521.58

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Solution

The fourth proportional to 10,425.54, 15,694.64 and 9,521.58 is: 14,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.54 : 15,694.64 = 9,521.58 : x
  2. Step 2: Convert to fraction form
    10,425.54/15,694.64 = 9,521.58/x
  3. Step 3: Cross multiply
    10,425.54x = 15,694.64 × 9,521.58
  4. Step 4: Simplify right side
    10,425.54x = 149,437,722.72
  5. Step 5: Solve for x
    x = 149,437,722.72/10,425.54
  6. Step 6: Final answer
    x = 14,333.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.