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Finding the Fourth Proportional to 25,897.62, 35,738.36 and 14,567.11

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Solution

The fourth proportional to 25,897.62, 35,738.36 and 14,567.11 is: 20,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.62 : 35,738.36 = 14,567.11 : x
  2. Step 2: Convert to fraction form
    25,897.62/35,738.36 = 14,567.11/x
  3. Step 3: Cross multiply
    25,897.62x = 35,738.36 × 14,567.11
  4. Step 4: Simplify right side
    25,897.62x = 520,604,548.50
  5. Step 5: Solve for x
    x = 520,604,548.50/25,897.62
  6. Step 6: Final answer
    x = 20,102.41

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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.