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Finding the Fourth Proportional to 28,352.84, 42,544.92 and 11,709

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Solution

The fourth proportional to 28,352.84, 42,544.92 and 11,709 is: 17,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,352.84 : 42,544.92 = 11,709 : x
  2. Step 2: Convert to fraction form
    28,352.84/42,544.92 = 11,709/x
  3. Step 3: Cross multiply
    28,352.84x = 42,544.92 × 11,709
  4. Step 4: Simplify right side
    28,352.84x = 498,158,468.28
  5. Step 5: Solve for x
    x = 498,158,468.28/28,352.84
  6. Step 6: Final answer
    x = 17,569.97

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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.