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Finding the Fourth Proportional to 12,409.19, 18,614.69 and 4,618

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Solution

The fourth proportional to 12,409.19, 18,614.69 and 4,618 is: 6,927.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.19 : 18,614.69 = 4,618 : x
  2. Step 2: Convert to fraction form
    12,409.19/18,614.69 = 4,618/x
  3. Step 3: Cross multiply
    12,409.19x = 18,614.69 × 4,618
  4. Step 4: Simplify right side
    12,409.19x = 85,962,638.42
  5. Step 5: Solve for x
    x = 85,962,638.42/12,409.19
  6. Step 6: Final answer
    x = 6,927.34

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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.