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Finding the Fourth Proportional to 13,207.86, 19,842.75 and 12,460.62

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Solution

The fourth proportional to 13,207.86, 19,842.75 and 12,460.62 is: 18,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.86 : 19,842.75 = 12,460.62 : x
  2. Step 2: Convert to fraction form
    13,207.86/19,842.75 = 12,460.62/x
  3. Step 3: Cross multiply
    13,207.86x = 19,842.75 × 12,460.62
  4. Step 4: Simplify right side
    13,207.86x = 247,252,967.51
  5. Step 5: Solve for x
    x = 247,252,967.51/13,207.86
  6. Step 6: Final answer
    x = 18,720.14

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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.