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Finding the Fourth Proportional to 13,225.88, 19,842.14 and 6,106.68

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Solution

The fourth proportional to 13,225.88, 19,842.14 and 6,106.68 is: 9,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.88 : 19,842.14 = 6,106.68 : x
  2. Step 2: Convert to fraction form
    13,225.88/19,842.14 = 6,106.68/x
  3. Step 3: Cross multiply
    13,225.88x = 19,842.14 × 6,106.68
  4. Step 4: Simplify right side
    13,225.88x = 121,169,614.76
  5. Step 5: Solve for x
    x = 121,169,614.76/13,225.88
  6. Step 6: Final answer
    x = 9,161.55

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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.