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Finding the Fourth Proportional to 25,431, 35,096.94 and 14,255.16

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Solution

The fourth proportional to 25,431, 35,096.94 and 14,255.16 is: 19,673.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431 : 35,096.94 = 14,255.16 : x
  2. Step 2: Convert to fraction form
    25,431/35,096.94 = 14,255.16/x
  3. Step 3: Cross multiply
    25,431x = 35,096.94 × 14,255.16
  4. Step 4: Simplify right side
    25,431x = 500,312,495.21
  5. Step 5: Solve for x
    x = 500,312,495.21/25,431
  6. Step 6: Final answer
    x = 19,673.33

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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.