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Finding the Fourth Proportional to 14,415.85, 19,894.02 and 8,367.43

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Solution

The fourth proportional to 14,415.85, 19,894.02 and 8,367.43 is: 11,547.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.85 : 19,894.02 = 8,367.43 : x
  2. Step 2: Convert to fraction form
    14,415.85/19,894.02 = 8,367.43/x
  3. Step 3: Cross multiply
    14,415.85x = 19,894.02 × 8,367.43
  4. Step 4: Simplify right side
    14,415.85x = 166,461,819.77
  5. Step 5: Solve for x
    x = 166,461,819.77/14,415.85
  6. Step 6: Final answer
    x = 11,547.14

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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.