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Finding the Fourth Proportional to 20,253, 30,395.16 and 14,056.50

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Solution

The fourth proportional to 20,253, 30,395.16 and 14,056.50 is: 21,095.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,253 : 30,395.16 = 14,056.50 : x
  2. Step 2: Convert to fraction form
    20,253/30,395.16 = 14,056.50/x
  3. Step 3: Cross multiply
    20,253x = 30,395.16 × 14,056.50
  4. Step 4: Simplify right side
    20,253x = 427,249,566.54
  5. Step 5: Solve for x
    x = 427,249,566.54/20,253
  6. Step 6: Final answer
    x = 21,095.62

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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.