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Finding the Fourth Proportional to 21,930.60, 32,858.10 and 10,219.80

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Solution

The fourth proportional to 21,930.60, 32,858.10 and 10,219.80 is: 15,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,930.60 : 32,858.10 = 10,219.80 : x
  2. Step 2: Convert to fraction form
    21,930.60/32,858.10 = 10,219.80/x
  3. Step 3: Cross multiply
    21,930.60x = 32,858.10 × 10,219.80
  4. Step 4: Simplify right side
    21,930.60x = 335,803,210.38
  5. Step 5: Solve for x
    x = 335,803,210.38/21,930.60
  6. Step 6: Final answer
    x = 15,312.08

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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.