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Finding the Fourth Proportional to 13,007.31, 17,950.02 and 7,038.92

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Solution

The fourth proportional to 13,007.31, 17,950.02 and 7,038.92 is: 9,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.31 : 17,950.02 = 7,038.92 : x
  2. Step 2: Convert to fraction form
    13,007.31/17,950.02 = 7,038.92/x
  3. Step 3: Cross multiply
    13,007.31x = 17,950.02 × 7,038.92
  4. Step 4: Simplify right side
    13,007.31x = 126,348,773.26
  5. Step 5: Solve for x
    x = 126,348,773.26/13,007.31
  6. Step 6: Final answer
    x = 9,713.68

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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.