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Finding the Fourth Proportional to 14,683.64, 22,010 and 9,350.87

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Solution

The fourth proportional to 14,683.64, 22,010 and 9,350.87 is: 14,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.64 : 22,010 = 9,350.87 : x
  2. Step 2: Convert to fraction form
    14,683.64/22,010 = 9,350.87/x
  3. Step 3: Cross multiply
    14,683.64x = 22,010 × 9,350.87
  4. Step 4: Simplify right side
    14,683.64x = 205,812,648.70
  5. Step 5: Solve for x
    x = 205,812,648.70/14,683.64
  6. Step 6: Final answer
    x = 14,016.46

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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.