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Finding the Fourth Proportional to 17,823.87, 24,597.14 and 9,866.23

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Solution

The fourth proportional to 17,823.87, 24,597.14 and 9,866.23 is: 13,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.87 : 24,597.14 = 9,866.23 : x
  2. Step 2: Convert to fraction form
    17,823.87/24,597.14 = 9,866.23/x
  3. Step 3: Cross multiply
    17,823.87x = 24,597.14 × 9,866.23
  4. Step 4: Simplify right side
    17,823.87x = 242,680,929.76
  5. Step 5: Solve for x
    x = 242,680,929.76/17,823.87
  6. Step 6: Final answer
    x = 13,615.50

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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.