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Finding the Fourth Proportional to 14,099.14, 19,457.40 and 7,811.50

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Solution

The fourth proportional to 14,099.14, 19,457.40 and 7,811.50 is: 10,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.14 : 19,457.40 = 7,811.50 : x
  2. Step 2: Convert to fraction form
    14,099.14/19,457.40 = 7,811.50/x
  3. Step 3: Cross multiply
    14,099.14x = 19,457.40 × 7,811.50
  4. Step 4: Simplify right side
    14,099.14x = 151,991,480.10
  5. Step 5: Solve for x
    x = 151,991,480.10/14,099.14
  6. Step 6: Final answer
    x = 10,780.20

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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.