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Finding the Fourth Proportional to 14,666.50, 22,000.11 and 5,307.40

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Solution

The fourth proportional to 14,666.50, 22,000.11 and 5,307.40 is: 7,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,666.50 : 22,000.11 = 5,307.40 : x
  2. Step 2: Convert to fraction form
    14,666.50/22,000.11 = 5,307.40/x
  3. Step 3: Cross multiply
    14,666.50x = 22,000.11 × 5,307.40
  4. Step 4: Simplify right side
    14,666.50x = 116,763,383.81
  5. Step 5: Solve for x
    x = 116,763,383.81/14,666.50
  6. Step 6: Final answer
    x = 7,961.23

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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.