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Finding the Fourth Proportional to 10,825.94, 16,275.96 and 10,014.32

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Solution

The fourth proportional to 10,825.94, 16,275.96 and 10,014.32 is: 15,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.94 : 16,275.96 = 10,014.32 : x
  2. Step 2: Convert to fraction form
    10,825.94/16,275.96 = 10,014.32/x
  3. Step 3: Cross multiply
    10,825.94x = 16,275.96 × 10,014.32
  4. Step 4: Simplify right side
    10,825.94x = 162,992,590.37
  5. Step 5: Solve for x
    x = 162,992,590.37/10,825.94
  6. Step 6: Final answer
    x = 15,055.75

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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.