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Finding the Fourth Proportional to 13,795.38, 19,037.61 and 7,507.74

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Solution

The fourth proportional to 13,795.38, 19,037.61 and 7,507.74 is: 10,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.38 : 19,037.61 = 7,507.74 : x
  2. Step 2: Convert to fraction form
    13,795.38/19,037.61 = 7,507.74/x
  3. Step 3: Cross multiply
    13,795.38x = 19,037.61 × 7,507.74
  4. Step 4: Simplify right side
    13,795.38x = 142,929,426.10
  5. Step 5: Solve for x
    x = 142,929,426.10/13,795.38
  6. Step 6: Final answer
    x = 10,360.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.