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Finding the Fourth Proportional to 12,526.36, 18,785.79 and 7,853.47

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Solution

The fourth proportional to 12,526.36, 18,785.79 and 7,853.47 is: 11,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.36 : 18,785.79 = 7,853.47 : x
  2. Step 2: Convert to fraction form
    12,526.36/18,785.79 = 7,853.47/x
  3. Step 3: Cross multiply
    12,526.36x = 18,785.79 × 7,853.47
  4. Step 4: Simplify right side
    12,526.36x = 147,533,638.19
  5. Step 5: Solve for x
    x = 147,533,638.19/12,526.36
  6. Step 6: Final answer
    x = 11,777.85

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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.