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Finding the Fourth Proportional to 13,817.58, 19,071.33 and 8,780.81

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Solution

The fourth proportional to 13,817.58, 19,071.33 and 8,780.81 is: 12,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.58 : 19,071.33 = 8,780.81 : x
  2. Step 2: Convert to fraction form
    13,817.58/19,071.33 = 8,780.81/x
  3. Step 3: Cross multiply
    13,817.58x = 19,071.33 × 8,780.81
  4. Step 4: Simplify right side
    13,817.58x = 167,461,772.86
  5. Step 5: Solve for x
    x = 167,461,772.86/13,817.58
  6. Step 6: Final answer
    x = 12,119.47

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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.