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Finding the Fourth Proportional to 13,746.32, 18,969.96 and 7,458.68

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Solution

The fourth proportional to 13,746.32, 18,969.96 and 7,458.68 is: 10,293.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.32 : 18,969.96 = 7,458.68 : x
  2. Step 2: Convert to fraction form
    13,746.32/18,969.96 = 7,458.68/x
  3. Step 3: Cross multiply
    13,746.32x = 18,969.96 × 7,458.68
  4. Step 4: Simplify right side
    13,746.32x = 141,490,861.25
  5. Step 5: Solve for x
    x = 141,490,861.25/13,746.32
  6. Step 6: Final answer
    x = 10,293.00

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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.