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Finding the Fourth Proportional to 13,495.98, 18,624.54 and 7,834.11

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Solution

The fourth proportional to 13,495.98, 18,624.54 and 7,834.11 is: 10,811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.98 : 18,624.54 = 7,834.11 : x
  2. Step 2: Convert to fraction form
    13,495.98/18,624.54 = 7,834.11/x
  3. Step 3: Cross multiply
    13,495.98x = 18,624.54 × 7,834.11
  4. Step 4: Simplify right side
    13,495.98x = 145,906,655.89
  5. Step 5: Solve for x
    x = 145,906,655.89/13,495.98
  6. Step 6: Final answer
    x = 10,811.12

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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.