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Finding the Fourth Proportional to 13,222.71, 18,202.86 and 10,237.59

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Solution

The fourth proportional to 13,222.71, 18,202.86 and 10,237.59 is: 14,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.71 : 18,202.86 = 10,237.59 : x
  2. Step 2: Convert to fraction form
    13,222.71/18,202.86 = 10,237.59/x
  3. Step 3: Cross multiply
    13,222.71x = 18,202.86 × 10,237.59
  4. Step 4: Simplify right side
    13,222.71x = 186,353,417.51
  5. Step 5: Solve for x
    x = 186,353,417.51/13,222.71
  6. Step 6: Final answer
    x = 14,093.44

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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.