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Finding the Fourth Proportional to 28,560.04, 42,829.41 and 9,834.78

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Solution

The fourth proportional to 28,560.04, 42,829.41 and 9,834.78 is: 14,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,560.04 : 42,829.41 = 9,834.78 : x
  2. Step 2: Convert to fraction form
    28,560.04/42,829.41 = 9,834.78/x
  3. Step 3: Cross multiply
    28,560.04x = 42,829.41 × 9,834.78
  4. Step 4: Simplify right side
    28,560.04x = 421,217,824.88
  5. Step 5: Solve for x
    x = 421,217,824.88/28,560.04
  6. Step 6: Final answer
    x = 14,748.50

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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.