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Finding the Fourth Proportional to 27,076.52, 40,587.12 and 15,365

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Solution

The fourth proportional to 27,076.52, 40,587.12 and 15,365 is: 23,031.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076.52 : 40,587.12 = 15,365 : x
  2. Step 2: Convert to fraction form
    27,076.52/40,587.12 = 15,365/x
  3. Step 3: Cross multiply
    27,076.52x = 40,587.12 × 15,365
  4. Step 4: Simplify right side
    27,076.52x = 623,621,098.80
  5. Step 5: Solve for x
    x = 623,621,098.80/27,076.52
  6. Step 6: Final answer
    x = 23,031.80

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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.