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Finding the Fourth Proportional to 14,750.02, 22,101.99 and 9,266.50

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Solution

The fourth proportional to 14,750.02, 22,101.99 and 9,266.50 is: 13,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,750.02 : 22,101.99 = 9,266.50 : x
  2. Step 2: Convert to fraction form
    14,750.02/22,101.99 = 9,266.50/x
  3. Step 3: Cross multiply
    14,750.02x = 22,101.99 × 9,266.50
  4. Step 4: Simplify right side
    14,750.02x = 204,808,090.34
  5. Step 5: Solve for x
    x = 204,808,090.34/14,750.02
  6. Step 6: Final answer
    x = 13,885.28

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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.