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Finding the Fourth Proportional to 23,875.75, 35,813.63 and 7,459.75

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Solution

The fourth proportional to 23,875.75, 35,813.63 and 7,459.75 is: 11,189.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.75 : 35,813.63 = 7,459.75 : x
  2. Step 2: Convert to fraction form
    23,875.75/35,813.63 = 7,459.75/x
  3. Step 3: Cross multiply
    23,875.75x = 35,813.63 × 7,459.75
  4. Step 4: Simplify right side
    23,875.75x = 267,160,726.39
  5. Step 5: Solve for x
    x = 267,160,726.39/23,875.75
  6. Step 6: Final answer
    x = 11,189.63

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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.