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Finding the Fourth Proportional to 13,746, 18,969.44 and 7,458.40

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Solution

The fourth proportional to 13,746, 18,969.44 and 7,458.40 is: 10,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746 : 18,969.44 = 7,458.40 : x
  2. Step 2: Convert to fraction form
    13,746/18,969.44 = 7,458.40/x
  3. Step 3: Cross multiply
    13,746x = 18,969.44 × 7,458.40
  4. Step 4: Simplify right side
    13,746x = 141,481,671.30
  5. Step 5: Solve for x
    x = 141,481,671.30/13,746
  6. Step 6: Final answer
    x = 10,292.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.