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Finding the Fourth Proportional to 12,698.35, 19,066.02 and 9,376.85

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Solution

The fourth proportional to 12,698.35, 19,066.02 and 9,376.85 is: 14,078.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.35 : 19,066.02 = 9,376.85 : x
  2. Step 2: Convert to fraction form
    12,698.35/19,066.02 = 9,376.85/x
  3. Step 3: Cross multiply
    12,698.35x = 19,066.02 × 9,376.85
  4. Step 4: Simplify right side
    12,698.35x = 178,779,114.31
  5. Step 5: Solve for x
    x = 178,779,114.31/12,698.35
  6. Step 6: Final answer
    x = 14,078.92

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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.