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Finding the Fourth Proportional to 13,447, 18,558.48 and 7,858

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Solution

The fourth proportional to 13,447, 18,558.48 and 7,858 is: 10,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447 : 18,558.48 = 7,858 : x
  2. Step 2: Convert to fraction form
    13,447/18,558.48 = 7,858/x
  3. Step 3: Cross multiply
    13,447x = 18,558.48 × 7,858
  4. Step 4: Simplify right side
    13,447x = 145,832,535.84
  5. Step 5: Solve for x
    x = 145,832,535.84/13,447
  6. Step 6: Final answer
    x = 10,844.99

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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.