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Finding the Fourth Proportional to 16,894.50, 25,341.75 and 4,582.50

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Solution

The fourth proportional to 16,894.50, 25,341.75 and 4,582.50 is: 6,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.50 : 25,341.75 = 4,582.50 : x
  2. Step 2: Convert to fraction form
    16,894.50/25,341.75 = 4,582.50/x
  3. Step 3: Cross multiply
    16,894.50x = 25,341.75 × 4,582.50
  4. Step 4: Simplify right side
    16,894.50x = 116,128,569.38
  5. Step 5: Solve for x
    x = 116,128,569.38/16,894.50
  6. Step 6: Final answer
    x = 6,873.75

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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.