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Finding the Fourth Proportional to 34,510.68, 51,776.89 and 12,323.57

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Solution

The fourth proportional to 34,510.68, 51,776.89 and 12,323.57 is: 18,489.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.68 : 51,776.89 = 12,323.57 : x
  2. Step 2: Convert to fraction form
    34,510.68/51,776.89 = 12,323.57/x
  3. Step 3: Cross multiply
    34,510.68x = 51,776.89 × 12,323.57
  4. Step 4: Simplify right side
    34,510.68x = 638,075,838.60
  5. Step 5: Solve for x
    x = 638,075,838.60/34,510.68
  6. Step 6: Final answer
    x = 18,489.23

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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.