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Finding the Fourth Proportional to 17,172.48, 23,698.80 and 13,440

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Solution

The fourth proportional to 17,172.48, 23,698.80 and 13,440 is: 18,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,172.48 : 23,698.80 = 13,440 : x
  2. Step 2: Convert to fraction form
    17,172.48/23,698.80 = 13,440/x
  3. Step 3: Cross multiply
    17,172.48x = 23,698.80 × 13,440
  4. Step 4: Simplify right side
    17,172.48x = 318,511,872
  5. Step 5: Solve for x
    x = 318,511,872/17,172.48
  6. Step 6: Final answer
    x = 18,547.81

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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.