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Finding the Fourth Proportional to 15,776.88, 23,665.02 and 4,691.05

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Solution

The fourth proportional to 15,776.88, 23,665.02 and 4,691.05 is: 7,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.88 : 23,665.02 = 4,691.05 : x
  2. Step 2: Convert to fraction form
    15,776.88/23,665.02 = 4,691.05/x
  3. Step 3: Cross multiply
    15,776.88x = 23,665.02 × 4,691.05
  4. Step 4: Simplify right side
    15,776.88x = 111,013,792.07
  5. Step 5: Solve for x
    x = 111,013,792.07/15,776.88
  6. Step 6: Final answer
    x = 7,036.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.