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Finding the Fourth Proportional to 14,019.61, 19,346.81 and 7,646.25

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Solution

The fourth proportional to 14,019.61, 19,346.81 and 7,646.25 is: 10,551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.61 : 19,346.81 = 7,646.25 : x
  2. Step 2: Convert to fraction form
    14,019.61/19,346.81 = 7,646.25/x
  3. Step 3: Cross multiply
    14,019.61x = 19,346.81 × 7,646.25
  4. Step 4: Simplify right side
    14,019.61x = 147,930,545.96
  5. Step 5: Solve for x
    x = 147,930,545.96/14,019.61
  6. Step 6: Final answer
    x = 10,551.69

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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.