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Finding the Fourth Proportional to 25,700.48, 38,550.52 and 13,224

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Solution

The fourth proportional to 25,700.48, 38,550.52 and 13,224 is: 19,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,700.48 : 38,550.52 = 13,224 : x
  2. Step 2: Convert to fraction form
    25,700.48/38,550.52 = 13,224/x
  3. Step 3: Cross multiply
    25,700.48x = 38,550.52 × 13,224
  4. Step 4: Simplify right side
    25,700.48x = 509,792,076.48
  5. Step 5: Solve for x
    x = 509,792,076.48/25,700.48
  6. Step 6: Final answer
    x = 19,835.90

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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.