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Finding the Fourth Proportional to 26,157.84, 36,096.75 and 15,547.38

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Solution

The fourth proportional to 26,157.84, 36,096.75 and 15,547.38 is: 21,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,157.84 : 36,096.75 = 15,547.38 : x
  2. Step 2: Convert to fraction form
    26,157.84/36,096.75 = 15,547.38/x
  3. Step 3: Cross multiply
    26,157.84x = 36,096.75 × 15,547.38
  4. Step 4: Simplify right side
    26,157.84x = 561,209,889.02
  5. Step 5: Solve for x
    x = 561,209,889.02/26,157.84
  6. Step 6: Final answer
    x = 21,454.75

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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.