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Finding the Fourth Proportional to 25,167.23, 37,780.01 and 13,503.23

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Solution

The fourth proportional to 25,167.23, 37,780.01 and 13,503.23 is: 20,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,167.23 : 37,780.01 = 13,503.23 : x
  2. Step 2: Convert to fraction form
    25,167.23/37,780.01 = 13,503.23/x
  3. Step 3: Cross multiply
    25,167.23x = 37,780.01 × 13,503.23
  4. Step 4: Simplify right side
    25,167.23x = 510,152,242.00
  5. Step 5: Solve for x
    x = 510,152,242.00/25,167.23
  6. Step 6: Final answer
    x = 20,270.49

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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.