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Finding the Fourth Proportional to 25,851.52, 38,777.52 and 16,624

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Solution

The fourth proportional to 25,851.52, 38,777.52 and 16,624 is: 24,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.52 : 38,777.52 = 16,624 : x
  2. Step 2: Convert to fraction form
    25,851.52/38,777.52 = 16,624/x
  3. Step 3: Cross multiply
    25,851.52x = 38,777.52 × 16,624
  4. Step 4: Simplify right side
    25,851.52x = 644,637,492.48
  5. Step 5: Solve for x
    x = 644,637,492.48/25,851.52
  6. Step 6: Final answer
    x = 24,936.15

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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.