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Finding the Fourth Proportional to 12,025.32, 16,587.66 and 7,774.89

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Solution

The fourth proportional to 12,025.32, 16,587.66 and 7,774.89 is: 10,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.32 : 16,587.66 = 7,774.89 : x
  2. Step 2: Convert to fraction form
    12,025.32/16,587.66 = 7,774.89/x
  3. Step 3: Cross multiply
    12,025.32x = 16,587.66 × 7,774.89
  4. Step 4: Simplify right side
    12,025.32x = 128,967,231.86
  5. Step 5: Solve for x
    x = 128,967,231.86/12,025.32
  6. Step 6: Final answer
    x = 10,724.64

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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.