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Finding the Fourth Proportional to 13,885.32, 19,162 and 7,597.56

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Solution

The fourth proportional to 13,885.32, 19,162 and 7,597.56 is: 10,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.32 : 19,162 = 7,597.56 : x
  2. Step 2: Convert to fraction form
    13,885.32/19,162 = 7,597.56/x
  3. Step 3: Cross multiply
    13,885.32x = 19,162 × 7,597.56
  4. Step 4: Simplify right side
    13,885.32x = 145,584,444.72
  5. Step 5: Solve for x
    x = 145,584,444.72/13,885.32
  6. Step 6: Final answer
    x = 10,484.77

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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.