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Finding the Fourth Proportional to 15,832.88, 21,853.92 and 10,459.24

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Solution

The fourth proportional to 15,832.88, 21,853.92 and 10,459.24 is: 14,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.88 : 21,853.92 = 10,459.24 : x
  2. Step 2: Convert to fraction form
    15,832.88/21,853.92 = 10,459.24/x
  3. Step 3: Cross multiply
    15,832.88x = 21,853.92 × 10,459.24
  4. Step 4: Simplify right side
    15,832.88x = 228,575,394.22
  5. Step 5: Solve for x
    x = 228,575,394.22/15,832.88
  6. Step 6: Final answer
    x = 14,436.75

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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.