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Finding the Fourth Proportional to 23,913.52, 35,889 and 16,569.52

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Solution

The fourth proportional to 23,913.52, 35,889 and 16,569.52 is: 24,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,913.52 : 35,889 = 16,569.52 : x
  2. Step 2: Convert to fraction form
    23,913.52/35,889 = 16,569.52/x
  3. Step 3: Cross multiply
    23,913.52x = 35,889 × 16,569.52
  4. Step 4: Simplify right side
    23,913.52x = 594,663,503.28
  5. Step 5: Solve for x
    x = 594,663,503.28/23,913.52
  6. Step 6: Final answer
    x = 24,867.25

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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.