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Finding the Fourth Proportional to 28,643.24, 42,956.52 and 9,922.52

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Solution

The fourth proportional to 28,643.24, 42,956.52 and 9,922.52 is: 14,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,643.24 : 42,956.52 = 9,922.52 : x
  2. Step 2: Convert to fraction form
    28,643.24/42,956.52 = 9,922.52/x
  3. Step 3: Cross multiply
    28,643.24x = 42,956.52 × 9,922.52
  4. Step 4: Simplify right side
    28,643.24x = 426,236,928.83
  5. Step 5: Solve for x
    x = 426,236,928.83/28,643.24
  6. Step 6: Final answer
    x = 14,880.89

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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.