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Finding the Fourth Proportional to 15,883.80, 23,829.84 and 6,023.28

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Solution

The fourth proportional to 15,883.80, 23,829.84 and 6,023.28 is: 9,036.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.80 : 23,829.84 = 6,023.28 : x
  2. Step 2: Convert to fraction form
    15,883.80/23,829.84 = 6,023.28/x
  3. Step 3: Cross multiply
    15,883.80x = 23,829.84 × 6,023.28
  4. Step 4: Simplify right side
    15,883.80x = 143,533,798.68
  5. Step 5: Solve for x
    x = 143,533,798.68/15,883.80
  6. Step 6: Final answer
    x = 9,036.49

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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.