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Finding the Fourth Proportional to 14,586.32, 21,879.44 and 6,786

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Solution

The fourth proportional to 14,586.32, 21,879.44 and 6,786 is: 10,178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.32 : 21,879.44 = 6,786 : x
  2. Step 2: Convert to fraction form
    14,586.32/21,879.44 = 6,786/x
  3. Step 3: Cross multiply
    14,586.32x = 21,879.44 × 6,786
  4. Step 4: Simplify right side
    14,586.32x = 148,473,879.84
  5. Step 5: Solve for x
    x = 148,473,879.84/14,586.32
  6. Step 6: Final answer
    x = 10,178.98

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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.