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Finding the Fourth Proportional to 23,669.28, 35,503.75 and 7,875.50

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Solution

The fourth proportional to 23,669.28, 35,503.75 and 7,875.50 is: 11,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.28 : 35,503.75 = 7,875.50 : x
  2. Step 2: Convert to fraction form
    23,669.28/35,503.75 = 7,875.50/x
  3. Step 3: Cross multiply
    23,669.28x = 35,503.75 × 7,875.50
  4. Step 4: Simplify right side
    23,669.28x = 279,609,615.45
  5. Step 5: Solve for x
    x = 279,609,615.45/23,669.28
  6. Step 6: Final answer
    x = 11,813.19

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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.