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Finding the Fourth Proportional to 14,058.32, 21,099.76 and 7,825.37

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Solution

The fourth proportional to 14,058.32, 21,099.76 and 7,825.37 is: 11,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.32 : 21,099.76 = 7,825.37 : x
  2. Step 2: Convert to fraction form
    14,058.32/21,099.76 = 7,825.37/x
  3. Step 3: Cross multiply
    14,058.32x = 21,099.76 × 7,825.37
  4. Step 4: Simplify right side
    14,058.32x = 165,113,303.85
  5. Step 5: Solve for x
    x = 165,113,303.85/14,058.32
  6. Step 6: Final answer
    x = 11,744.89

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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.