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Finding the Fourth Proportional to 14,334.84, 19,782 and 8,370.36

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Solution

The fourth proportional to 14,334.84, 19,782 and 8,370.36 is: 11,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.84 : 19,782 = 8,370.36 : x
  2. Step 2: Convert to fraction form
    14,334.84/19,782 = 8,370.36/x
  3. Step 3: Cross multiply
    14,334.84x = 19,782 × 8,370.36
  4. Step 4: Simplify right side
    14,334.84x = 165,582,461.52
  5. Step 5: Solve for x
    x = 165,582,461.52/14,334.84
  6. Step 6: Final answer
    x = 11,551.05

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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.