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Finding the Fourth Proportional to 13,973.77, 19,283.16 and 8,004.88

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Solution

The fourth proportional to 13,973.77, 19,283.16 and 8,004.88 is: 11,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.77 : 19,283.16 = 8,004.88 : x
  2. Step 2: Convert to fraction form
    13,973.77/19,283.16 = 8,004.88/x
  3. Step 3: Cross multiply
    13,973.77x = 19,283.16 × 8,004.88
  4. Step 4: Simplify right side
    13,973.77x = 154,359,381.82
  5. Step 5: Solve for x
    x = 154,359,381.82/13,973.77
  6. Step 6: Final answer
    x = 11,046.37

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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.