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Finding the Fourth Proportional to 26,524.48, 36,598.08 and 15,340

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Solution

The fourth proportional to 26,524.48, 36,598.08 and 15,340 is: 21,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.48 : 36,598.08 = 15,340 : x
  2. Step 2: Convert to fraction form
    26,524.48/36,598.08 = 15,340/x
  3. Step 3: Cross multiply
    26,524.48x = 36,598.08 × 15,340
  4. Step 4: Simplify right side
    26,524.48x = 561,414,547.20
  5. Step 5: Solve for x
    x = 561,414,547.20/26,524.48
  6. Step 6: Final answer
    x = 21,165.90

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Why These Related Problems?

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