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Finding the Fourth Proportional to 10,870.39, 16,272.76 and 9,830.88

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Solution

The fourth proportional to 10,870.39, 16,272.76 and 9,830.88 is: 14,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.39 : 16,272.76 = 9,830.88 : x
  2. Step 2: Convert to fraction form
    10,870.39/16,272.76 = 9,830.88/x
  3. Step 3: Cross multiply
    10,870.39x = 16,272.76 × 9,830.88
  4. Step 4: Simplify right side
    10,870.39x = 159,975,483.25
  5. Step 5: Solve for x
    x = 159,975,483.25/10,870.39
  6. Step 6: Final answer
    x = 14,716.63

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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.