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Finding the Fourth Proportional to 13,836, 19,093.68 and 7,548.36

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Solution

The fourth proportional to 13,836, 19,093.68 and 7,548.36 is: 10,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836 : 19,093.68 = 7,548.36 : x
  2. Step 2: Convert to fraction form
    13,836/19,093.68 = 7,548.36/x
  3. Step 3: Cross multiply
    13,836x = 19,093.68 × 7,548.36
  4. Step 4: Simplify right side
    13,836x = 144,125,970.36
  5. Step 5: Solve for x
    x = 144,125,970.36/13,836
  6. Step 6: Final answer
    x = 10,416.74

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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.