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Finding the Fourth Proportional to 13,746.12, 18,969.72 and 7,458.50

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Solution

The fourth proportional to 13,746.12, 18,969.72 and 7,458.50 is: 10,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.12 : 18,969.72 = 7,458.50 : x
  2. Step 2: Convert to fraction form
    13,746.12/18,969.72 = 7,458.50/x
  3. Step 3: Cross multiply
    13,746.12x = 18,969.72 × 7,458.50
  4. Step 4: Simplify right side
    13,746.12x = 141,485,656.62
  5. Step 5: Solve for x
    x = 141,485,656.62/13,746.12
  6. Step 6: Final answer
    x = 10,292.77

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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.