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Finding the Fourth Proportional to 12,307.36, 16,983.92 and 6,718.40

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Solution

The fourth proportional to 12,307.36, 16,983.92 and 6,718.40 is: 9,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.36 : 16,983.92 = 6,718.40 : x
  2. Step 2: Convert to fraction form
    12,307.36/16,983.92 = 6,718.40/x
  3. Step 3: Cross multiply
    12,307.36x = 16,983.92 × 6,718.40
  4. Step 4: Simplify right side
    12,307.36x = 114,104,768.13
  5. Step 5: Solve for x
    x = 114,104,768.13/12,307.36
  6. Step 6: Final answer
    x = 9,271.26

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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.