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Finding the Fourth Proportional to 13,845.52, 19,106.52 and 7,558

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Solution

The fourth proportional to 13,845.52, 19,106.52 and 7,558 is: 10,429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,845.52 : 19,106.52 = 7,558 : x
  2. Step 2: Convert to fraction form
    13,845.52/19,106.52 = 7,558/x
  3. Step 3: Cross multiply
    13,845.52x = 19,106.52 × 7,558
  4. Step 4: Simplify right side
    13,845.52x = 144,407,078.16
  5. Step 5: Solve for x
    x = 144,407,078.16/13,845.52
  6. Step 6: Final answer
    x = 10,429.88

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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.