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Finding the Fourth Proportional to 12,973.31, 17,904.08 and 7,384.31

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Solution

The fourth proportional to 12,973.31, 17,904.08 and 7,384.31 is: 10,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.31 : 17,904.08 = 7,384.31 : x
  2. Step 2: Convert to fraction form
    12,973.31/17,904.08 = 7,384.31/x
  3. Step 3: Cross multiply
    12,973.31x = 17,904.08 × 7,384.31
  4. Step 4: Simplify right side
    12,973.31x = 132,209,276.98
  5. Step 5: Solve for x
    x = 132,209,276.98/12,973.31
  6. Step 6: Final answer
    x = 10,190.87

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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.