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Finding the Fourth Proportional to 14,395.96, 21,586.56 and 6,598

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Solution

The fourth proportional to 14,395.96, 21,586.56 and 6,598 is: 9,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,395.96 : 21,586.56 = 6,598 : x
  2. Step 2: Convert to fraction form
    14,395.96/21,586.56 = 6,598/x
  3. Step 3: Cross multiply
    14,395.96x = 21,586.56 × 6,598
  4. Step 4: Simplify right side
    14,395.96x = 142,428,122.88
  5. Step 5: Solve for x
    x = 142,428,122.88/14,395.96
  6. Step 6: Final answer
    x = 9,893.62

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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.