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Finding the Fourth Proportional to 14,099.92, 19,458.03 and 7,812.25

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Solution

The fourth proportional to 14,099.92, 19,458.03 and 7,812.25 is: 10,780.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.92 : 19,458.03 = 7,812.25 : x
  2. Step 2: Convert to fraction form
    14,099.92/19,458.03 = 7,812.25/x
  3. Step 3: Cross multiply
    14,099.92x = 19,458.03 × 7,812.25
  4. Step 4: Simplify right side
    14,099.92x = 152,010,994.87
  5. Step 5: Solve for x
    x = 152,010,994.87/14,099.92
  6. Step 6: Final answer
    x = 10,780.98

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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.