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Finding the Fourth Proportional to 12,417.46, 17,136.10 and 6,828.46

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Solution

The fourth proportional to 12,417.46, 17,136.10 and 6,828.46 is: 9,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.46 : 17,136.10 = 6,828.46 : x
  2. Step 2: Convert to fraction form
    12,417.46/17,136.10 = 6,828.46/x
  3. Step 3: Cross multiply
    12,417.46x = 17,136.10 × 6,828.46
  4. Step 4: Simplify right side
    12,417.46x = 117,013,173.41
  5. Step 5: Solve for x
    x = 117,013,173.41/12,417.46
  6. Step 6: Final answer
    x = 9,423.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.