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Finding the Fourth Proportional to 13,798.40, 19,042.23 and 7,830.32

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Solution

The fourth proportional to 13,798.40, 19,042.23 and 7,830.32 is: 10,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.40 : 19,042.23 = 7,830.32 : x
  2. Step 2: Convert to fraction form
    13,798.40/19,042.23 = 7,830.32/x
  3. Step 3: Cross multiply
    13,798.40x = 19,042.23 × 7,830.32
  4. Step 4: Simplify right side
    13,798.40x = 149,106,754.41
  5. Step 5: Solve for x
    x = 149,106,754.41/13,798.40
  6. Step 6: Final answer
    x = 10,806.09

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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.