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Finding the Fourth Proportional to 12,785.63, 19,177.59 and 6,126.89

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Solution

The fourth proportional to 12,785.63, 19,177.59 and 6,126.89 is: 9,189.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.63 : 19,177.59 = 6,126.89 : x
  2. Step 2: Convert to fraction form
    12,785.63/19,177.59 = 6,126.89/x
  3. Step 3: Cross multiply
    12,785.63x = 19,177.59 × 6,126.89
  4. Step 4: Simplify right side
    12,785.63x = 117,498,984.40
  5. Step 5: Solve for x
    x = 117,498,984.40/12,785.63
  6. Step 6: Final answer
    x = 9,189.93

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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.