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Finding the Fourth Proportional to 13,005.94, 17,948.06 and 7,037.48

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Solution

The fourth proportional to 13,005.94, 17,948.06 and 7,037.48 is: 9,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.94 : 17,948.06 = 7,037.48 : x
  2. Step 2: Convert to fraction form
    13,005.94/17,948.06 = 7,037.48/x
  3. Step 3: Cross multiply
    13,005.94x = 17,948.06 × 7,037.48
  4. Step 4: Simplify right side
    13,005.94x = 126,309,113.29
  5. Step 5: Solve for x
    x = 126,309,113.29/13,005.94
  6. Step 6: Final answer
    x = 9,711.65

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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.