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Finding the Fourth Proportional to 13,907.84, 19,172.72 and 9,922.03

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Solution

The fourth proportional to 13,907.84, 19,172.72 and 9,922.03 is: 13,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.84 : 19,172.72 = 9,922.03 : x
  2. Step 2: Convert to fraction form
    13,907.84/19,172.72 = 9,922.03/x
  3. Step 3: Cross multiply
    13,907.84x = 19,172.72 × 9,922.03
  4. Step 4: Simplify right side
    13,907.84x = 190,232,279.89
  5. Step 5: Solve for x
    x = 190,232,279.89/13,907.84
  6. Step 6: Final answer
    x = 13,678.07

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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.