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Finding the Fourth Proportional to 25,880, 35,741.51 and 17,834.57

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Solution

The fourth proportional to 25,880, 35,741.51 and 17,834.57 is: 24,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 35,741.51 = 17,834.57 : x
  2. Step 2: Convert to fraction form
    25,880/35,741.51 = 17,834.57/x
  3. Step 3: Cross multiply
    25,880x = 35,741.51 × 17,834.57
  4. Step 4: Simplify right side
    25,880x = 637,434,462.00
  5. Step 5: Solve for x
    x = 637,434,462.00/25,880
  6. Step 6: Final answer
    x = 24,630.39

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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.