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Finding the Fourth Proportional to 12,483.36, 17,226.36 and 6,894

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Solution

The fourth proportional to 12,483.36, 17,226.36 and 6,894 is: 9,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483.36 : 17,226.36 = 6,894 : x
  2. Step 2: Convert to fraction form
    12,483.36/17,226.36 = 6,894/x
  3. Step 3: Cross multiply
    12,483.36x = 17,226.36 × 6,894
  4. Step 4: Simplify right side
    12,483.36x = 118,758,525.84
  5. Step 5: Solve for x
    x = 118,758,525.84/12,483.36
  6. Step 6: Final answer
    x = 9,513.35

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Why These Related Problems?

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