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Finding the Fourth Proportional to 25,136.19, 34,688.21 and 14,526

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Solution

The fourth proportional to 25,136.19, 34,688.21 and 14,526 is: 20,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,136.19 : 34,688.21 = 14,526 : x
  2. Step 2: Convert to fraction form
    25,136.19/34,688.21 = 14,526/x
  3. Step 3: Cross multiply
    25,136.19x = 34,688.21 × 14,526
  4. Step 4: Simplify right side
    25,136.19x = 503,880,865.83
  5. Step 5: Solve for x
    x = 503,880,865.83/25,136.19
  6. Step 6: Final answer
    x = 20,046.03

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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.