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Finding the Fourth Proportional to 12,826.95, 19,247.08 and 9,706.02

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Solution

The fourth proportional to 12,826.95, 19,247.08 and 9,706.02 is: 14,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.95 : 19,247.08 = 9,706.02 : x
  2. Step 2: Convert to fraction form
    12,826.95/19,247.08 = 9,706.02/x
  3. Step 3: Cross multiply
    12,826.95x = 19,247.08 × 9,706.02
  4. Step 4: Simplify right side
    12,826.95x = 186,812,519.16
  5. Step 5: Solve for x
    x = 186,812,519.16/12,826.95
  6. Step 6: Final answer
    x = 14,564.06

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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.