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Finding the Fourth Proportional to 18,265, 25,205.70 and 9,881.50

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Solution

The fourth proportional to 18,265, 25,205.70 and 9,881.50 is: 13,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265 : 25,205.70 = 9,881.50 : x
  2. Step 2: Convert to fraction form
    18,265/25,205.70 = 9,881.50/x
  3. Step 3: Cross multiply
    18,265x = 25,205.70 × 9,881.50
  4. Step 4: Simplify right side
    18,265x = 249,070,124.55
  5. Step 5: Solve for x
    x = 249,070,124.55/18,265
  6. Step 6: Final answer
    x = 13,636.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.