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Finding the Fourth Proportional to 15,683.94, 23,515.11 and 7,888.50

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Solution

The fourth proportional to 15,683.94, 23,515.11 and 7,888.50 is: 11,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.94 : 23,515.11 = 7,888.50 : x
  2. Step 2: Convert to fraction form
    15,683.94/23,515.11 = 7,888.50/x
  3. Step 3: Cross multiply
    15,683.94x = 23,515.11 × 7,888.50
  4. Step 4: Simplify right side
    15,683.94x = 185,498,945.24
  5. Step 5: Solve for x
    x = 185,498,945.24/15,683.94
  6. Step 6: Final answer
    x = 11,827.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.