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Finding the Fourth Proportional to 12,783.96, 19,148.18 and 6,196.32

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Solution

The fourth proportional to 12,783.96, 19,148.18 and 6,196.32 is: 9,281.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.96 : 19,148.18 = 6,196.32 : x
  2. Step 2: Convert to fraction form
    12,783.96/19,148.18 = 6,196.32/x
  3. Step 3: Cross multiply
    12,783.96x = 19,148.18 × 6,196.32
  4. Step 4: Simplify right side
    12,783.96x = 118,648,219.72
  5. Step 5: Solve for x
    x = 118,648,219.72/12,783.96
  6. Step 6: Final answer
    x = 9,281.02

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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.