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Finding the Fourth Proportional to 13,444.88, 18,551.58 and 9,199.40

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Solution

The fourth proportional to 13,444.88, 18,551.58 and 9,199.40 is: 12,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.88 : 18,551.58 = 9,199.40 : x
  2. Step 2: Convert to fraction form
    13,444.88/18,551.58 = 9,199.40/x
  3. Step 3: Cross multiply
    13,444.88x = 18,551.58 × 9,199.40
  4. Step 4: Simplify right side
    13,444.88x = 170,663,405.05
  5. Step 5: Solve for x
    x = 170,663,405.05/13,444.88
  6. Step 6: Final answer
    x = 12,693.56

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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.