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Finding the Fourth Proportional to 16,509.94, 24,762.48 and 5,425.50

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Solution

The fourth proportional to 16,509.94, 24,762.48 and 5,425.50 is: 8,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.94 : 24,762.48 = 5,425.50 : x
  2. Step 2: Convert to fraction form
    16,509.94/24,762.48 = 5,425.50/x
  3. Step 3: Cross multiply
    16,509.94x = 24,762.48 × 5,425.50
  4. Step 4: Simplify right side
    16,509.94x = 134,348,835.24
  5. Step 5: Solve for x
    x = 134,348,835.24/16,509.94
  6. Step 6: Final answer
    x = 8,137.45

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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.