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Finding the Fourth Proportional to 12,596.40, 18,894.60 and 6,035.40

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Solution

The fourth proportional to 12,596.40, 18,894.60 and 6,035.40 is: 9,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.40 : 18,894.60 = 6,035.40 : x
  2. Step 2: Convert to fraction form
    12,596.40/18,894.60 = 6,035.40/x
  3. Step 3: Cross multiply
    12,596.40x = 18,894.60 × 6,035.40
  4. Step 4: Simplify right side
    12,596.40x = 114,036,468.84
  5. Step 5: Solve for x
    x = 114,036,468.84/12,596.40
  6. Step 6: Final answer
    x = 9,053.10

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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.