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Finding the Fourth Proportional to 25,688.75, 38,533.13 and 7,220.75

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Solution

The fourth proportional to 25,688.75, 38,533.13 and 7,220.75 is: 10,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.75 : 38,533.13 = 7,220.75 : x
  2. Step 2: Convert to fraction form
    25,688.75/38,533.13 = 7,220.75/x
  3. Step 3: Cross multiply
    25,688.75x = 38,533.13 × 7,220.75
  4. Step 4: Simplify right side
    25,688.75x = 278,238,062.34
  5. Step 5: Solve for x
    x = 278,238,062.34/25,688.75
  6. Step 6: Final answer
    x = 10,831.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.