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Finding the Fourth Proportional to 15,683.90, 21,639.58 and 9,305.19

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Solution

The fourth proportional to 15,683.90, 21,639.58 and 9,305.19 is: 12,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.90 : 21,639.58 = 9,305.19 : x
  2. Step 2: Convert to fraction form
    15,683.90/21,639.58 = 9,305.19/x
  3. Step 3: Cross multiply
    15,683.90x = 21,639.58 × 9,305.19
  4. Step 4: Simplify right side
    15,683.90x = 201,360,380.16
  5. Step 5: Solve for x
    x = 201,360,380.16/15,683.90
  6. Step 6: Final answer
    x = 12,838.67

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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.