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Finding the Fourth Proportional to 12,023.66, 16,592.34 and 6,718.52

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Solution

The fourth proportional to 12,023.66, 16,592.34 and 6,718.52 is: 9,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.66 : 16,592.34 = 6,718.52 : x
  2. Step 2: Convert to fraction form
    12,023.66/16,592.34 = 6,718.52/x
  3. Step 3: Cross multiply
    12,023.66x = 16,592.34 × 6,718.52
  4. Step 4: Simplify right side
    12,023.66x = 111,475,968.14
  5. Step 5: Solve for x
    x = 111,475,968.14/12,023.66
  6. Step 6: Final answer
    x = 9,271.38

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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.