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Finding the Fourth Proportional to 24,509.55, 33,829.32 and 14,434.32

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Solution

The fourth proportional to 24,509.55, 33,829.32 and 14,434.32 is: 19,922.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.55 : 33,829.32 = 14,434.32 : x
  2. Step 2: Convert to fraction form
    24,509.55/33,829.32 = 14,434.32/x
  3. Step 3: Cross multiply
    24,509.55x = 33,829.32 × 14,434.32
  4. Step 4: Simplify right side
    24,509.55x = 488,303,230.26
  5. Step 5: Solve for x
    x = 488,303,230.26/24,509.55
  6. Step 6: Final answer
    x = 19,922.98

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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.