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Finding the Fourth Proportional to 14,354.24, 19,802.76 and 8,762

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Solution

The fourth proportional to 14,354.24, 19,802.76 and 8,762 is: 12,087.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.24 : 19,802.76 = 8,762 : x
  2. Step 2: Convert to fraction form
    14,354.24/19,802.76 = 8,762/x
  3. Step 3: Cross multiply
    14,354.24x = 19,802.76 × 8,762
  4. Step 4: Simplify right side
    14,354.24x = 173,511,783.12
  5. Step 5: Solve for x
    x = 173,511,783.12/14,354.24
  6. Step 6: Final answer
    x = 12,087.84

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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.