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Finding the Fourth Proportional to 15,538.96, 21,443.80 and 8,465.23

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Solution

The fourth proportional to 15,538.96, 21,443.80 and 8,465.23 is: 11,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,538.96 : 21,443.80 = 8,465.23 : x
  2. Step 2: Convert to fraction form
    15,538.96/21,443.80 = 8,465.23/x
  3. Step 3: Cross multiply
    15,538.96x = 21,443.80 × 8,465.23
  4. Step 4: Simplify right side
    15,538.96x = 181,526,699.07
  5. Step 5: Solve for x
    x = 181,526,699.07/15,538.96
  6. Step 6: Final answer
    x = 11,682.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.