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Finding the Fourth Proportional to 23,967.86, 33,075.76 and 13,902.26

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Solution

The fourth proportional to 23,967.86, 33,075.76 and 13,902.26 is: 19,185.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,967.86 : 33,075.76 = 13,902.26 : x
  2. Step 2: Convert to fraction form
    23,967.86/33,075.76 = 13,902.26/x
  3. Step 3: Cross multiply
    23,967.86x = 33,075.76 × 13,902.26
  4. Step 4: Simplify right side
    23,967.86x = 459,827,815.22
  5. Step 5: Solve for x
    x = 459,827,815.22/23,967.86
  6. Step 6: Final answer
    x = 19,185.18

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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.