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Finding the Fourth Proportional to 28,509.54, 42,753.38 and 9,786.10

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Solution

The fourth proportional to 28,509.54, 42,753.38 and 9,786.10 is: 14,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,509.54 : 42,753.38 = 9,786.10 : x
  2. Step 2: Convert to fraction form
    28,509.54/42,753.38 = 9,786.10/x
  3. Step 3: Cross multiply
    28,509.54x = 42,753.38 × 9,786.10
  4. Step 4: Simplify right side
    28,509.54x = 418,388,852.02
  5. Step 5: Solve for x
    x = 418,388,852.02/28,509.54
  6. Step 6: Final answer
    x = 14,675.40

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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.