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Finding the Fourth Proportional to 14,586.48, 20,130.84 and 8,925

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Solution

The fourth proportional to 14,586.48, 20,130.84 and 8,925 is: 12,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.48 : 20,130.84 = 8,925 : x
  2. Step 2: Convert to fraction form
    14,586.48/20,130.84 = 8,925/x
  3. Step 3: Cross multiply
    14,586.48x = 20,130.84 × 8,925
  4. Step 4: Simplify right side
    14,586.48x = 179,667,747
  5. Step 5: Solve for x
    x = 179,667,747/14,586.48
  6. Step 6: Final answer
    x = 12,317.42

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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.