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Finding the Fourth Proportional to 27,090.72, 40,636.08 and 13,230

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Solution

The fourth proportional to 27,090.72, 40,636.08 and 13,230 is: 19,845

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090.72 : 40,636.08 = 13,230 : x
  2. Step 2: Convert to fraction form
    27,090.72/40,636.08 = 13,230/x
  3. Step 3: Cross multiply
    27,090.72x = 40,636.08 × 13,230
  4. Step 4: Simplify right side
    27,090.72x = 537,615,338.40
  5. Step 5: Solve for x
    x = 537,615,338.40/27,090.72
  6. Step 6: Final answer
    x = 19,845

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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.