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Finding the Fourth Proportional to 13,115.53, 19,673.14 and 7,852.01

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Solution

The fourth proportional to 13,115.53, 19,673.14 and 7,852.01 is: 11,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.53 : 19,673.14 = 7,852.01 : x
  2. Step 2: Convert to fraction form
    13,115.53/19,673.14 = 7,852.01/x
  3. Step 3: Cross multiply
    13,115.53x = 19,673.14 × 7,852.01
  4. Step 4: Simplify right side
    13,115.53x = 154,473,692.01
  5. Step 5: Solve for x
    x = 154,473,692.01/13,115.53
  6. Step 6: Final answer
    x = 11,777.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.