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Finding the Fourth Proportional to 12,412.98, 18,597.78 and 10,346.31

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Solution

The fourth proportional to 12,412.98, 18,597.78 and 10,346.31 is: 15,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.98 : 18,597.78 = 10,346.31 : x
  2. Step 2: Convert to fraction form
    12,412.98/18,597.78 = 10,346.31/x
  3. Step 3: Cross multiply
    12,412.98x = 18,597.78 × 10,346.31
  4. Step 4: Simplify right side
    12,412.98x = 192,418,397.19
  5. Step 5: Solve for x
    x = 192,418,397.19/12,412.98
  6. Step 6: Final answer
    x = 15,501.39

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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.