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Finding the Fourth Proportional to 23,228.32, 34,842.64 and 5,698.14

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Solution

The fourth proportional to 23,228.32, 34,842.64 and 5,698.14 is: 8,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,228.32 : 34,842.64 = 5,698.14 : x
  2. Step 2: Convert to fraction form
    23,228.32/34,842.64 = 5,698.14/x
  3. Step 3: Cross multiply
    23,228.32x = 34,842.64 × 5,698.14
  4. Step 4: Simplify right side
    23,228.32x = 198,538,240.69
  5. Step 5: Solve for x
    x = 198,538,240.69/23,228.32
  6. Step 6: Final answer
    x = 8,547.25

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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.