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Finding the Fourth Proportional to 20,683.60, 31,032.60 and 7,536.40

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Solution

The fourth proportional to 20,683.60, 31,032.60 and 7,536.40 is: 11,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.60 : 31,032.60 = 7,536.40 : x
  2. Step 2: Convert to fraction form
    20,683.60/31,032.60 = 7,536.40/x
  3. Step 3: Cross multiply
    20,683.60x = 31,032.60 × 7,536.40
  4. Step 4: Simplify right side
    20,683.60x = 233,874,086.64
  5. Step 5: Solve for x
    x = 233,874,086.64/20,683.60
  6. Step 6: Final answer
    x = 11,307.22

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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.