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Finding the Fourth Proportional to 13,885.64, 19,162.02 and 7,598

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Solution

The fourth proportional to 13,885.64, 19,162.02 and 7,598 is: 10,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.64 : 19,162.02 = 7,598 : x
  2. Step 2: Convert to fraction form
    13,885.64/19,162.02 = 7,598/x
  3. Step 3: Cross multiply
    13,885.64x = 19,162.02 × 7,598
  4. Step 4: Simplify right side
    13,885.64x = 145,593,027.96
  5. Step 5: Solve for x
    x = 145,593,027.96/13,885.64
  6. Step 6: Final answer
    x = 10,485.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.