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Finding the Fourth Proportional to 17,271.81, 25,903.74 and 8,386.80

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Solution

The fourth proportional to 17,271.81, 25,903.74 and 8,386.80 is: 12,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.81 : 25,903.74 = 8,386.80 : x
  2. Step 2: Convert to fraction form
    17,271.81/25,903.74 = 8,386.80/x
  3. Step 3: Cross multiply
    17,271.81x = 25,903.74 × 8,386.80
  4. Step 4: Simplify right side
    17,271.81x = 217,249,486.63
  5. Step 5: Solve for x
    x = 217,249,486.63/17,271.81
  6. Step 6: Final answer
    x = 12,578.27

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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.