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Finding the Fourth Proportional to 13,811.96, 19,060.47 and 7,524.32

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Solution

The fourth proportional to 13,811.96, 19,060.47 and 7,524.32 is: 10,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.96 : 19,060.47 = 7,524.32 : x
  2. Step 2: Convert to fraction form
    13,811.96/19,060.47 = 7,524.32/x
  3. Step 3: Cross multiply
    13,811.96x = 19,060.47 × 7,524.32
  4. Step 4: Simplify right side
    13,811.96x = 143,417,075.63
  5. Step 5: Solve for x
    x = 143,417,075.63/13,811.96
  6. Step 6: Final answer
    x = 10,383.54

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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.