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Finding the Fourth Proportional to 13,746.54, 18,969.67 and 7,458.78

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Solution

The fourth proportional to 13,746.54, 18,969.67 and 7,458.78 is: 10,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.54 : 18,969.67 = 7,458.78 : x
  2. Step 2: Convert to fraction form
    13,746.54/18,969.67 = 7,458.78/x
  3. Step 3: Cross multiply
    13,746.54x = 18,969.67 × 7,458.78
  4. Step 4: Simplify right side
    13,746.54x = 141,490,595.20
  5. Step 5: Solve for x
    x = 141,490,595.20/13,746.54
  6. Step 6: Final answer
    x = 10,292.82

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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.