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Finding the Fourth Proportional to 12,825.80, 19,238.70 and 9,715.40

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Solution

The fourth proportional to 12,825.80, 19,238.70 and 9,715.40 is: 14,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.80 : 19,238.70 = 9,715.40 : x
  2. Step 2: Convert to fraction form
    12,825.80/19,238.70 = 9,715.40/x
  3. Step 3: Cross multiply
    12,825.80x = 19,238.70 × 9,715.40
  4. Step 4: Simplify right side
    12,825.80x = 186,911,665.98
  5. Step 5: Solve for x
    x = 186,911,665.98/12,825.80
  6. Step 6: Final answer
    x = 14,573.10

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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.