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Finding the Fourth Proportional to 13,154.45, 19,735.34 and 7,315.16

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Solution

The fourth proportional to 13,154.45, 19,735.34 and 7,315.16 is: 10,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.45 : 19,735.34 = 7,315.16 : x
  2. Step 2: Convert to fraction form
    13,154.45/19,735.34 = 7,315.16/x
  3. Step 3: Cross multiply
    13,154.45x = 19,735.34 × 7,315.16
  4. Step 4: Simplify right side
    13,154.45x = 144,367,034.50
  5. Step 5: Solve for x
    x = 144,367,034.50/13,154.45
  6. Step 6: Final answer
    x = 10,974.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.