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Finding the Fourth Proportional to 14,027.69, 19,358.12 and 7,740.08

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Solution

The fourth proportional to 14,027.69, 19,358.12 and 7,740.08 is: 10,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,027.69 : 19,358.12 = 7,740.08 : x
  2. Step 2: Convert to fraction form
    14,027.69/19,358.12 = 7,740.08/x
  3. Step 3: Cross multiply
    14,027.69x = 19,358.12 × 7,740.08
  4. Step 4: Simplify right side
    14,027.69x = 149,833,358.75
  5. Step 5: Solve for x
    x = 149,833,358.75/14,027.69
  6. Step 6: Final answer
    x = 10,681.26

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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.