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Finding the Fourth Proportional to 13,630.18, 18,809.82 and 7,661.50

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Solution

The fourth proportional to 13,630.18, 18,809.82 and 7,661.50 is: 10,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.18 : 18,809.82 = 7,661.50 : x
  2. Step 2: Convert to fraction form
    13,630.18/18,809.82 = 7,661.50/x
  3. Step 3: Cross multiply
    13,630.18x = 18,809.82 × 7,661.50
  4. Step 4: Simplify right side
    13,630.18x = 144,111,341.88
  5. Step 5: Solve for x
    x = 144,111,341.88/13,630.18
  6. Step 6: Final answer
    x = 10,572.96

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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.