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Finding the Fourth Proportional to 20,683.76, 31,034.75 and 10,830.11

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Solution

The fourth proportional to 20,683.76, 31,034.75 and 10,830.11 is: 16,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.76 : 31,034.75 = 10,830.11 : x
  2. Step 2: Convert to fraction form
    20,683.76/31,034.75 = 10,830.11/x
  3. Step 3: Cross multiply
    20,683.76x = 31,034.75 × 10,830.11
  4. Step 4: Simplify right side
    20,683.76x = 336,109,547.00
  5. Step 5: Solve for x
    x = 336,109,547.00/20,683.76
  6. Step 6: Final answer
    x = 16,249.93

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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.