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Finding the Fourth Proportional to 12,364.79, 18,547.38 and 6,817.10

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Solution

The fourth proportional to 12,364.79, 18,547.38 and 6,817.10 is: 10,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364.79 : 18,547.38 = 6,817.10 : x
  2. Step 2: Convert to fraction form
    12,364.79/18,547.38 = 6,817.10/x
  3. Step 3: Cross multiply
    12,364.79x = 18,547.38 × 6,817.10
  4. Step 4: Simplify right side
    12,364.79x = 126,439,344.20
  5. Step 5: Solve for x
    x = 126,439,344.20/12,364.79
  6. Step 6: Final answer
    x = 10,225.76

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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.