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Finding the Fourth Proportional to 13,054.62, 19,551.54 and 6,459.60

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Solution

The fourth proportional to 13,054.62, 19,551.54 and 6,459.60 is: 9,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.62 : 19,551.54 = 6,459.60 : x
  2. Step 2: Convert to fraction form
    13,054.62/19,551.54 = 6,459.60/x
  3. Step 3: Cross multiply
    13,054.62x = 19,551.54 × 6,459.60
  4. Step 4: Simplify right side
    13,054.62x = 126,295,127.78
  5. Step 5: Solve for x
    x = 126,295,127.78/13,054.62
  6. Step 6: Final answer
    x = 9,674.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.