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Finding the Fourth Proportional to 13,835.99, 19,093.64 and 7,548.36

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Solution

The fourth proportional to 13,835.99, 19,093.64 and 7,548.36 is: 10,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.99 : 19,093.64 = 7,548.36 : x
  2. Step 2: Convert to fraction form
    13,835.99/19,093.64 = 7,548.36/x
  3. Step 3: Cross multiply
    13,835.99x = 19,093.64 × 7,548.36
  4. Step 4: Simplify right side
    13,835.99x = 144,125,630.69
  5. Step 5: Solve for x
    x = 144,125,630.69/13,835.99
  6. Step 6: Final answer
    x = 10,416.72

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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.