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Finding the Fourth Proportional to 23,090.64, 34,636.02 and 13,223.13

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Solution

The fourth proportional to 23,090.64, 34,636.02 and 13,223.13 is: 19,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.64 : 34,636.02 = 13,223.13 : x
  2. Step 2: Convert to fraction form
    23,090.64/34,636.02 = 13,223.13/x
  3. Step 3: Cross multiply
    23,090.64x = 34,636.02 × 13,223.13
  4. Step 4: Simplify right side
    23,090.64x = 457,996,595.14
  5. Step 5: Solve for x
    x = 457,996,595.14/23,090.64
  6. Step 6: Final answer
    x = 19,834.73

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