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Finding the Fourth Proportional to 24,643.86, 34,023.58 and 16,038.24

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Solution

The fourth proportional to 24,643.86, 34,023.58 and 16,038.24 is: 22,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.86 : 34,023.58 = 16,038.24 : x
  2. Step 2: Convert to fraction form
    24,643.86/34,023.58 = 16,038.24/x
  3. Step 3: Cross multiply
    24,643.86x = 34,023.58 × 16,038.24
  4. Step 4: Simplify right side
    24,643.86x = 545,678,174.02
  5. Step 5: Solve for x
    x = 545,678,174.02/24,643.86
  6. Step 6: Final answer
    x = 22,142.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.