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Finding the Fourth Proportional to 14,656.85, 21,971.45 and 4,789.23

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Solution

The fourth proportional to 14,656.85, 21,971.45 and 4,789.23 is: 7,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.85 : 21,971.45 = 4,789.23 : x
  2. Step 2: Convert to fraction form
    14,656.85/21,971.45 = 4,789.23/x
  3. Step 3: Cross multiply
    14,656.85x = 21,971.45 × 4,789.23
  4. Step 4: Simplify right side
    14,656.85x = 105,226,257.06
  5. Step 5: Solve for x
    x = 105,226,257.06/14,656.85
  6. Step 6: Final answer
    x = 7,179.32

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