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Finding the Fourth Proportional to 25,434, 38,157.48 and 9,645.48

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Solution

The fourth proportional to 25,434, 38,157.48 and 9,645.48 is: 14,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 38,157.48 = 9,645.48 : x
  2. Step 2: Convert to fraction form
    25,434/38,157.48 = 9,645.48/x
  3. Step 3: Cross multiply
    25,434x = 38,157.48 × 9,645.48
  4. Step 4: Simplify right side
    25,434x = 368,047,210.19
  5. Step 5: Solve for x
    x = 368,047,210.19/25,434
  6. Step 6: Final answer
    x = 14,470.68

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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.