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Finding the Fourth Proportional to 15,814.29, 23,703.54 and 6,451.87

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Solution

The fourth proportional to 15,814.29, 23,703.54 and 6,451.87 is: 9,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.29 : 23,703.54 = 6,451.87 : x
  2. Step 2: Convert to fraction form
    15,814.29/23,703.54 = 6,451.87/x
  3. Step 3: Cross multiply
    15,814.29x = 23,703.54 × 6,451.87
  4. Step 4: Simplify right side
    15,814.29x = 152,932,158.62
  5. Step 5: Solve for x
    x = 152,932,158.62/15,814.29
  6. Step 6: Final answer
    x = 9,670.50

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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.