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Finding the Fourth Proportional to 14,018.01, 19,344.74 and 7,730.25

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Solution

The fourth proportional to 14,018.01, 19,344.74 and 7,730.25 is: 10,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,018.01 : 19,344.74 = 7,730.25 : x
  2. Step 2: Convert to fraction form
    14,018.01/19,344.74 = 7,730.25/x
  3. Step 3: Cross multiply
    14,018.01x = 19,344.74 × 7,730.25
  4. Step 4: Simplify right side
    14,018.01x = 149,539,637.73
  5. Step 5: Solve for x
    x = 149,539,637.73/14,018.01
  6. Step 6: Final answer
    x = 10,667.68

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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.