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Finding the Fourth Proportional to 13,421.58, 18,522.69 and 9,444

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Solution

The fourth proportional to 13,421.58, 18,522.69 and 9,444 is: 13,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,421.58 : 18,522.69 = 9,444 : x
  2. Step 2: Convert to fraction form
    13,421.58/18,522.69 = 9,444/x
  3. Step 3: Cross multiply
    13,421.58x = 18,522.69 × 9,444
  4. Step 4: Simplify right side
    13,421.58x = 174,928,284.36
  5. Step 5: Solve for x
    x = 174,928,284.36/13,421.58
  6. Step 6: Final answer
    x = 13,033.36

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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.