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Finding the Fourth Proportional to 23,503.84, 32,434.69 and 13,431.64

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Solution

The fourth proportional to 23,503.84, 32,434.69 and 13,431.64 is: 18,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.84 : 32,434.69 = 13,431.64 : x
  2. Step 2: Convert to fraction form
    23,503.84/32,434.69 = 13,431.64/x
  3. Step 3: Cross multiply
    23,503.84x = 32,434.69 × 13,431.64
  4. Step 4: Simplify right side
    23,503.84x = 435,651,079.59
  5. Step 5: Solve for x
    x = 435,651,079.59/23,503.84
  6. Step 6: Final answer
    x = 18,535.32

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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.