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Finding the Fourth Proportional to 14,072.88, 19,420.65 and 7,785.26

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Solution

The fourth proportional to 14,072.88, 19,420.65 and 7,785.26 is: 10,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.88 : 19,420.65 = 7,785.26 : x
  2. Step 2: Convert to fraction form
    14,072.88/19,420.65 = 7,785.26/x
  3. Step 3: Cross multiply
    14,072.88x = 19,420.65 × 7,785.26
  4. Step 4: Simplify right side
    14,072.88x = 151,194,712.52
  5. Step 5: Solve for x
    x = 151,194,712.52/14,072.88
  6. Step 6: Final answer
    x = 10,743.69

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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.