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Finding the Fourth Proportional to 14,157.18, 19,532.34 and 7,868.34

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Solution

The fourth proportional to 14,157.18, 19,532.34 and 7,868.34 is: 10,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.18 : 19,532.34 = 7,868.34 : x
  2. Step 2: Convert to fraction form
    14,157.18/19,532.34 = 7,868.34/x
  3. Step 3: Cross multiply
    14,157.18x = 19,532.34 × 7,868.34
  4. Step 4: Simplify right side
    14,157.18x = 153,687,092.12
  5. Step 5: Solve for x
    x = 153,687,092.12/14,157.18
  6. Step 6: Final answer
    x = 10,855.77

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1.5x scale

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.