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Finding the Fourth Proportional to 13,698.60, 20,547.86 and 5,382.54

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Solution

The fourth proportional to 13,698.60, 20,547.86 and 5,382.54 is: 8,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.60 : 20,547.86 = 5,382.54 : x
  2. Step 2: Convert to fraction form
    13,698.60/20,547.86 = 5,382.54/x
  3. Step 3: Cross multiply
    13,698.60x = 20,547.86 × 5,382.54
  4. Step 4: Simplify right side
    13,698.60x = 110,599,678.36
  5. Step 5: Solve for x
    x = 110,599,678.36/13,698.60
  6. Step 6: Final answer
    x = 8,073.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.