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Finding the Fourth Proportional to 26,549.48, 36,632.40 and 15,365

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Solution

The fourth proportional to 26,549.48, 36,632.40 and 15,365 is: 21,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,549.48 : 36,632.40 = 15,365 : x
  2. Step 2: Convert to fraction form
    26,549.48/36,632.40 = 15,365/x
  3. Step 3: Cross multiply
    26,549.48x = 36,632.40 × 15,365
  4. Step 4: Simplify right side
    26,549.48x = 562,856,826
  5. Step 5: Solve for x
    x = 562,856,826/26,549.48
  6. Step 6: Final answer
    x = 21,200.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.