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Finding the Fourth Proportional to 13,077.98, 18,047.48 and 9,735.74

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Solution

The fourth proportional to 13,077.98, 18,047.48 and 9,735.74 is: 13,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.98 : 18,047.48 = 9,735.74 : x
  2. Step 2: Convert to fraction form
    13,077.98/18,047.48 = 9,735.74/x
  3. Step 3: Cross multiply
    13,077.98x = 18,047.48 × 9,735.74
  4. Step 4: Simplify right side
    13,077.98x = 175,705,572.94
  5. Step 5: Solve for x
    x = 175,705,572.94/13,077.98
  6. Step 6: Final answer
    x = 13,435.22

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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.