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Finding the Fourth Proportional to 15,887.99, 23,830.67 and 5,357.78

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Solution

The fourth proportional to 15,887.99, 23,830.67 and 5,357.78 is: 8,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.99 : 23,830.67 = 5,357.78 : x
  2. Step 2: Convert to fraction form
    15,887.99/23,830.67 = 5,357.78/x
  3. Step 3: Cross multiply
    15,887.99x = 23,830.67 × 5,357.78
  4. Step 4: Simplify right side
    15,887.99x = 127,679,341.17
  5. Step 5: Solve for x
    x = 127,679,341.17/15,887.99
  6. Step 6: Final answer
    x = 8,036.22

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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.