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Finding the Fourth Proportional to 12,698.82, 19,052.55 and 6,538.50

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Solution

The fourth proportional to 12,698.82, 19,052.55 and 6,538.50 is: 9,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.82 : 19,052.55 = 6,538.50 : x
  2. Step 2: Convert to fraction form
    12,698.82/19,052.55 = 6,538.50/x
  3. Step 3: Cross multiply
    12,698.82x = 19,052.55 × 6,538.50
  4. Step 4: Simplify right side
    12,698.82x = 124,575,098.18
  5. Step 5: Solve for x
    x = 124,575,098.18/12,698.82
  6. Step 6: Final answer
    x = 9,809.97

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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.