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Finding the Fourth Proportional to 25,436.01, 35,102.12 and 14,106

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Solution

The fourth proportional to 25,436.01, 35,102.12 and 14,106 is: 19,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,436.01 : 35,102.12 = 14,106 : x
  2. Step 2: Convert to fraction form
    25,436.01/35,102.12 = 14,106/x
  3. Step 3: Cross multiply
    25,436.01x = 35,102.12 × 14,106
  4. Step 4: Simplify right side
    25,436.01x = 495,150,434.19
  5. Step 5: Solve for x
    x = 495,150,434.19/25,436.01
  6. Step 6: Final answer
    x = 19,466.51

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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.