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Finding the Fourth Proportional to 14,099.52, 19,313.88 and 13,944

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Solution

The fourth proportional to 14,099.52, 19,313.88 and 13,944 is: 19,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.52 : 19,313.88 = 13,944 : x
  2. Step 2: Convert to fraction form
    14,099.52/19,313.88 = 13,944/x
  3. Step 3: Cross multiply
    14,099.52x = 19,313.88 × 13,944
  4. Step 4: Simplify right side
    14,099.52x = 269,312,742.72
  5. Step 5: Solve for x
    x = 269,312,742.72/14,099.52
  6. Step 6: Final answer
    x = 19,100.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.