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Finding the Fourth Proportional to 16,392, 24,590.40 and 5,295

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Solution

The fourth proportional to 16,392, 24,590.40 and 5,295 is: 7,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,392 : 24,590.40 = 5,295 : x
  2. Step 2: Convert to fraction form
    16,392/24,590.40 = 5,295/x
  3. Step 3: Cross multiply
    16,392x = 24,590.40 × 5,295
  4. Step 4: Simplify right side
    16,392x = 130,206,168.00
  5. Step 5: Solve for x
    x = 130,206,168.00/16,392
  6. Step 6: Final answer
    x = 7,943.28

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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.