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Finding the Fourth Proportional to 14,102.56, 21,148.37 and 7,525.16

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Solution

The fourth proportional to 14,102.56, 21,148.37 and 7,525.16 is: 11,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.56 : 21,148.37 = 7,525.16 : x
  2. Step 2: Convert to fraction form
    14,102.56/21,148.37 = 7,525.16/x
  3. Step 3: Cross multiply
    14,102.56x = 21,148.37 × 7,525.16
  4. Step 4: Simplify right side
    14,102.56x = 159,144,867.99
  5. Step 5: Solve for x
    x = 159,144,867.99/14,102.56
  6. Step 6: Final answer
    x = 11,284.82

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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.