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Finding the Fourth Proportional to 13,823.88, 19,062.18 and 9,099.96

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Solution

The fourth proportional to 13,823.88, 19,062.18 and 9,099.96 is: 12,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.88 : 19,062.18 = 9,099.96 : x
  2. Step 2: Convert to fraction form
    13,823.88/19,062.18 = 9,099.96/x
  3. Step 3: Cross multiply
    13,823.88x = 19,062.18 × 9,099.96
  4. Step 4: Simplify right side
    13,823.88x = 173,465,075.51
  5. Step 5: Solve for x
    x = 173,465,075.51/13,823.88
  6. Step 6: Final answer
    x = 12,548.22

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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.