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Finding the Fourth Proportional to 13,907.49, 19,189.46 and 7,941.10

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Solution

The fourth proportional to 13,907.49, 19,189.46 and 7,941.10 is: 10,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.49 : 19,189.46 = 7,941.10 : x
  2. Step 2: Convert to fraction form
    13,907.49/19,189.46 = 7,941.10/x
  3. Step 3: Cross multiply
    13,907.49x = 19,189.46 × 7,941.10
  4. Step 4: Simplify right side
    13,907.49x = 152,385,420.81
  5. Step 5: Solve for x
    x = 152,385,420.81/13,907.49
  6. Step 6: Final answer
    x = 10,957.08

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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.