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Finding the Fourth Proportional to 25,782.72, 35,578.80 and 14,604

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Solution

The fourth proportional to 25,782.72, 35,578.80 and 14,604 is: 20,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.72 : 35,578.80 = 14,604 : x
  2. Step 2: Convert to fraction form
    25,782.72/35,578.80 = 14,604/x
  3. Step 3: Cross multiply
    25,782.72x = 35,578.80 × 14,604
  4. Step 4: Simplify right side
    25,782.72x = 519,592,795.20
  5. Step 5: Solve for x
    x = 519,592,795.20/25,782.72
  6. Step 6: Final answer
    x = 20,152.75

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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.