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Finding the Fourth Proportional to 25,303.50, 37,955.25 and 6,835.50

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Solution

The fourth proportional to 25,303.50, 37,955.25 and 6,835.50 is: 10,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,303.50 : 37,955.25 = 6,835.50 : x
  2. Step 2: Convert to fraction form
    25,303.50/37,955.25 = 6,835.50/x
  3. Step 3: Cross multiply
    25,303.50x = 37,955.25 × 6,835.50
  4. Step 4: Simplify right side
    25,303.50x = 259,443,111.38
  5. Step 5: Solve for x
    x = 259,443,111.38/25,303.50
  6. Step 6: Final answer
    x = 10,253.25

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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.