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Finding the Fourth Proportional to 16,302.08, 24,455.16 and 4,615.28

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Solution

The fourth proportional to 16,302.08, 24,455.16 and 4,615.28 is: 6,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.08 : 24,455.16 = 4,615.28 : x
  2. Step 2: Convert to fraction form
    16,302.08/24,455.16 = 4,615.28/x
  3. Step 3: Cross multiply
    16,302.08x = 24,455.16 × 4,615.28
  4. Step 4: Simplify right side
    16,302.08x = 112,867,410.84
  5. Step 5: Solve for x
    x = 112,867,410.84/16,302.08
  6. Step 6: Final answer
    x = 6,923.50

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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.