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Finding the Fourth Proportional to 12,834.61, 17,706.50 and 7,798.02

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Solution

The fourth proportional to 12,834.61, 17,706.50 and 7,798.02 is: 10,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.61 : 17,706.50 = 7,798.02 : x
  2. Step 2: Convert to fraction form
    12,834.61/17,706.50 = 7,798.02/x
  3. Step 3: Cross multiply
    12,834.61x = 17,706.50 × 7,798.02
  4. Step 4: Simplify right side
    12,834.61x = 138,075,664.58
  5. Step 5: Solve for x
    x = 138,075,664.58/12,834.61
  6. Step 6: Final answer
    x = 10,758.07

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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.