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Finding the Fourth Proportional to 12,574.16, 18,859.56 and 7,894.64

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Solution

The fourth proportional to 12,574.16, 18,859.56 and 7,894.64 is: 11,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.16 : 18,859.56 = 7,894.64 : x
  2. Step 2: Convert to fraction form
    12,574.16/18,859.56 = 7,894.64/x
  3. Step 3: Cross multiply
    12,574.16x = 18,859.56 × 7,894.64
  4. Step 4: Simplify right side
    12,574.16x = 148,889,436.76
  5. Step 5: Solve for x
    x = 148,889,436.76/12,574.16
  6. Step 6: Final answer
    x = 11,840.91

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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.