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Finding the Fourth Proportional to 14,605.45, 21,892.38 and 5,830.72

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Solution

The fourth proportional to 14,605.45, 21,892.38 and 5,830.72 is: 8,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.45 : 21,892.38 = 5,830.72 : x
  2. Step 2: Convert to fraction form
    14,605.45/21,892.38 = 5,830.72/x
  3. Step 3: Cross multiply
    14,605.45x = 21,892.38 × 5,830.72
  4. Step 4: Simplify right side
    14,605.45x = 127,648,261.32
  5. Step 5: Solve for x
    x = 127,648,261.32/14,605.45
  6. Step 6: Final answer
    x = 8,739.77

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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.