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Finding the Fourth Proportional to 25,563.50, 38,345.26 and 7,095.50

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Solution

The fourth proportional to 25,563.50, 38,345.26 and 7,095.50 is: 10,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,563.50 : 38,345.26 = 7,095.50 : x
  2. Step 2: Convert to fraction form
    25,563.50/38,345.26 = 7,095.50/x
  3. Step 3: Cross multiply
    25,563.50x = 38,345.26 × 7,095.50
  4. Step 4: Simplify right side
    25,563.50x = 272,078,792.33
  5. Step 5: Solve for x
    x = 272,078,792.33/25,563.50
  6. Step 6: Final answer
    x = 10,643.25

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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.