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Finding the Fourth Proportional to 14,643.86, 21,955.34 and 6,848.42

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Solution

The fourth proportional to 14,643.86, 21,955.34 and 6,848.42 is: 10,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.86 : 21,955.34 = 6,848.42 : x
  2. Step 2: Convert to fraction form
    14,643.86/21,955.34 = 6,848.42/x
  3. Step 3: Cross multiply
    14,643.86x = 21,955.34 × 6,848.42
  4. Step 4: Simplify right side
    14,643.86x = 150,359,296.91
  5. Step 5: Solve for x
    x = 150,359,296.91/14,643.86
  6. Step 6: Final answer
    x = 10,267.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.