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Finding the Fourth Proportional to 25,445.36, 38,157.48 and 9,854

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Solution

The fourth proportional to 25,445.36, 38,157.48 and 9,854 is: 14,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,445.36 : 38,157.48 = 9,854 : x
  2. Step 2: Convert to fraction form
    25,445.36/38,157.48 = 9,854/x
  3. Step 3: Cross multiply
    25,445.36x = 38,157.48 × 9,854
  4. Step 4: Simplify right side
    25,445.36x = 376,003,807.92
  5. Step 5: Solve for x
    x = 376,003,807.92/25,445.36
  6. Step 6: Final answer
    x = 14,776.91

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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.