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Finding the Fourth Proportional to 12,828.50, 17,703.45 and 7,378.40

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Solution

The fourth proportional to 12,828.50, 17,703.45 and 7,378.40 is: 10,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.50 : 17,703.45 = 7,378.40 : x
  2. Step 2: Convert to fraction form
    12,828.50/17,703.45 = 7,378.40/x
  3. Step 3: Cross multiply
    12,828.50x = 17,703.45 × 7,378.40
  4. Step 4: Simplify right side
    12,828.50x = 130,623,046.96
  5. Step 5: Solve for x
    x = 130,623,046.96/12,828.50
  6. Step 6: Final answer
    x = 10,182.26

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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.