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Finding the Fourth Proportional to 13,635.18, 18,810.23 and 7,970.16

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Solution

The fourth proportional to 13,635.18, 18,810.23 and 7,970.16 is: 10,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.18 : 18,810.23 = 7,970.16 : x
  2. Step 2: Convert to fraction form
    13,635.18/18,810.23 = 7,970.16/x
  3. Step 3: Cross multiply
    13,635.18x = 18,810.23 × 7,970.16
  4. Step 4: Simplify right side
    13,635.18x = 149,920,542.74
  5. Step 5: Solve for x
    x = 149,920,542.74/13,635.18
  6. Step 6: Final answer
    x = 10,995.13

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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.