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Finding the Fourth Proportional to 14,846.52, 22,269.24 and 4,458

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Solution

The fourth proportional to 14,846.52, 22,269.24 and 4,458 is: 6,686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,846.52 : 22,269.24 = 4,458 : x
  2. Step 2: Convert to fraction form
    14,846.52/22,269.24 = 4,458/x
  3. Step 3: Cross multiply
    14,846.52x = 22,269.24 × 4,458
  4. Step 4: Simplify right side
    14,846.52x = 99,276,271.92
  5. Step 5: Solve for x
    x = 99,276,271.92/14,846.52
  6. Step 6: Final answer
    x = 6,686.84

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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.