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Finding the Fourth Proportional to 15,411, 21,267.18 and 9,825.24

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Solution

The fourth proportional to 15,411, 21,267.18 and 9,825.24 is: 13,558.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411 : 21,267.18 = 9,825.24 : x
  2. Step 2: Convert to fraction form
    15,411/21,267.18 = 9,825.24/x
  3. Step 3: Cross multiply
    15,411x = 21,267.18 × 9,825.24
  4. Step 4: Simplify right side
    15,411x = 208,955,147.62
  5. Step 5: Solve for x
    x = 208,955,147.62/15,411
  6. Step 6: Final answer
    x = 13,558.83

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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.