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Finding the Fourth Proportional to 15,875.88, 23,814.12 and 6,019.80

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Solution

The fourth proportional to 15,875.88, 23,814.12 and 6,019.80 is: 9,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,875.88 : 23,814.12 = 6,019.80 : x
  2. Step 2: Convert to fraction form
    15,875.88/23,814.12 = 6,019.80/x
  3. Step 3: Cross multiply
    15,875.88x = 23,814.12 × 6,019.80
  4. Step 4: Simplify right side
    15,875.88x = 143,356,239.58
  5. Step 5: Solve for x
    x = 143,356,239.58/15,875.88
  6. Step 6: Final answer
    x = 9,029.81

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