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Finding the Fourth Proportional to 13,029.50, 17,980.71 and 7,440.50

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Solution

The fourth proportional to 13,029.50, 17,980.71 and 7,440.50 is: 10,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.50 : 17,980.71 = 7,440.50 : x
  2. Step 2: Convert to fraction form
    13,029.50/17,980.71 = 7,440.50/x
  3. Step 3: Cross multiply
    13,029.50x = 17,980.71 × 7,440.50
  4. Step 4: Simplify right side
    13,029.50x = 133,785,472.76
  5. Step 5: Solve for x
    x = 133,785,472.76/13,029.50
  6. Step 6: Final answer
    x = 10,267.89

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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.