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Finding the Fourth Proportional to 13,507.06, 18,617.43 and 9,029.18

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Solution

The fourth proportional to 13,507.06, 18,617.43 and 9,029.18 is: 12,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.06 : 18,617.43 = 9,029.18 : x
  2. Step 2: Convert to fraction form
    13,507.06/18,617.43 = 9,029.18/x
  3. Step 3: Cross multiply
    13,507.06x = 18,617.43 × 9,029.18
  4. Step 4: Simplify right side
    13,507.06x = 168,100,126.61
  5. Step 5: Solve for x
    x = 168,100,126.61/13,507.06
  6. Step 6: Final answer
    x = 12,445.35

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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.