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Finding the Fourth Proportional to 15,409.12, 21,257.83 and 9,032.48

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Solution

The fourth proportional to 15,409.12, 21,257.83 and 9,032.48 is: 12,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.12 : 21,257.83 = 9,032.48 : x
  2. Step 2: Convert to fraction form
    15,409.12/21,257.83 = 9,032.48/x
  3. Step 3: Cross multiply
    15,409.12x = 21,257.83 × 9,032.48
  4. Step 4: Simplify right side
    15,409.12x = 192,010,924.32
  5. Step 5: Solve for x
    x = 192,010,924.32/15,409.12
  6. Step 6: Final answer
    x = 12,460.86

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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.