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Finding the Fourth Proportional to 14,077.47, 19,426.64 and 7,789.89

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Solution

The fourth proportional to 14,077.47, 19,426.64 and 7,789.89 is: 10,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.47 : 19,426.64 = 7,789.89 : x
  2. Step 2: Convert to fraction form
    14,077.47/19,426.64 = 7,789.89/x
  3. Step 3: Cross multiply
    14,077.47x = 19,426.64 × 7,789.89
  4. Step 4: Simplify right side
    14,077.47x = 151,331,349.72
  5. Step 5: Solve for x
    x = 151,331,349.72/14,077.47
  6. Step 6: Final answer
    x = 10,749.90

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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.