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Finding the Fourth Proportional to 25,783.08, 35,582.08 and 14,456.22

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Solution

The fourth proportional to 25,783.08, 35,582.08 and 14,456.22 is: 19,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.08 : 35,582.08 = 14,456.22 : x
  2. Step 2: Convert to fraction form
    25,783.08/35,582.08 = 14,456.22/x
  3. Step 3: Cross multiply
    25,783.08x = 35,582.08 × 14,456.22
  4. Step 4: Simplify right side
    25,783.08x = 514,382,376.54
  5. Step 5: Solve for x
    x = 514,382,376.54/25,783.08
  6. Step 6: Final answer
    x = 19,950.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.