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Finding the Fourth Proportional to 12,633.08, 17,432.70 and 7,043

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Solution

The fourth proportional to 12,633.08, 17,432.70 and 7,043 is: 9,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.08 : 17,432.70 = 7,043 : x
  2. Step 2: Convert to fraction form
    12,633.08/17,432.70 = 7,043/x
  3. Step 3: Cross multiply
    12,633.08x = 17,432.70 × 7,043
  4. Step 4: Simplify right side
    12,633.08x = 122,778,506.10
  5. Step 5: Solve for x
    x = 122,778,506.10/12,633.08
  6. Step 6: Final answer
    x = 9,718.81

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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.