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Finding the Fourth Proportional to 12,683.94, 17,509.95 and 8,442.06

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Solution

The fourth proportional to 12,683.94, 17,509.95 and 8,442.06 is: 11,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.94 : 17,509.95 = 8,442.06 : x
  2. Step 2: Convert to fraction form
    12,683.94/17,509.95 = 8,442.06/x
  3. Step 3: Cross multiply
    12,683.94x = 17,509.95 × 8,442.06
  4. Step 4: Simplify right side
    12,683.94x = 147,820,048.50
  5. Step 5: Solve for x
    x = 147,820,048.50/12,683.94
  6. Step 6: Final answer
    x = 11,654.11

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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.