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Finding the Fourth Proportional to 13,911.59, 19,197.97 and 7,538.35

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Solution

The fourth proportional to 13,911.59, 19,197.97 and 7,538.35 is: 10,402.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.59 : 19,197.97 = 7,538.35 : x
  2. Step 2: Convert to fraction form
    13,911.59/19,197.97 = 7,538.35/x
  3. Step 3: Cross multiply
    13,911.59x = 19,197.97 × 7,538.35
  4. Step 4: Simplify right side
    13,911.59x = 144,720,979.46
  5. Step 5: Solve for x
    x = 144,720,979.46/13,911.59
  6. Step 6: Final answer
    x = 10,402.91

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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.