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Finding the Fourth Proportional to 14,694.40, 22,041.60 and 4,835.20

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Solution

The fourth proportional to 14,694.40, 22,041.60 and 4,835.20 is: 7,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694.40 : 22,041.60 = 4,835.20 : x
  2. Step 2: Convert to fraction form
    14,694.40/22,041.60 = 4,835.20/x
  3. Step 3: Cross multiply
    14,694.40x = 22,041.60 × 4,835.20
  4. Step 4: Simplify right side
    14,694.40x = 106,575,544.32
  5. Step 5: Solve for x
    x = 106,575,544.32/14,694.40
  6. Step 6: Final answer
    x = 7,252.80

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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.