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Finding the Fourth Proportional to 14,027.86, 19,358.44 and 7,740.24

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Solution

The fourth proportional to 14,027.86, 19,358.44 and 7,740.24 is: 10,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.86 : 19,358.44 = 7,740.24 : x
  2. Step 2: Convert to fraction form
    14,027.86/19,358.44 = 7,740.24/x
  3. Step 3: Cross multiply
    14,027.86x = 19,358.44 × 7,740.24
  4. Step 4: Simplify right side
    14,027.86x = 149,838,971.63
  5. Step 5: Solve for x
    x = 149,838,971.63/14,027.86
  6. Step 6: Final answer
    x = 10,681.53

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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.