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Finding the Fourth Proportional to 12,348.77, 17,041.19 and 6,683.40

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Solution

The fourth proportional to 12,348.77, 17,041.19 and 6,683.40 is: 9,223.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,348.77 : 17,041.19 = 6,683.40 : x
  2. Step 2: Convert to fraction form
    12,348.77/17,041.19 = 6,683.40/x
  3. Step 3: Cross multiply
    12,348.77x = 17,041.19 × 6,683.40
  4. Step 4: Simplify right side
    12,348.77x = 113,893,055.83
  5. Step 5: Solve for x
    x = 113,893,055.83/12,348.77
  6. Step 6: Final answer
    x = 9,223.03

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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.