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Finding the Fourth Proportional to 16,147.88, 22,283.03 and 9,435.40

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Solution

The fourth proportional to 16,147.88, 22,283.03 and 9,435.40 is: 13,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.88 : 22,283.03 = 9,435.40 : x
  2. Step 2: Convert to fraction form
    16,147.88/22,283.03 = 9,435.40/x
  3. Step 3: Cross multiply
    16,147.88x = 22,283.03 × 9,435.40
  4. Step 4: Simplify right side
    16,147.88x = 210,249,301.26
  5. Step 5: Solve for x
    x = 210,249,301.26/16,147.88
  6. Step 6: Final answer
    x = 13,020.24

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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.