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Finding the Fourth Proportional to 25,597.04, 38,406.68 and 8,969

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Solution

The fourth proportional to 25,597.04, 38,406.68 and 8,969 is: 13,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.04 : 38,406.68 = 8,969 : x
  2. Step 2: Convert to fraction form
    25,597.04/38,406.68 = 8,969/x
  3. Step 3: Cross multiply
    25,597.04x = 38,406.68 × 8,969
  4. Step 4: Simplify right side
    25,597.04x = 344,469,512.92
  5. Step 5: Solve for x
    x = 344,469,512.92/25,597.04
  6. Step 6: Final answer
    x = 13,457.40

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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.