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Finding the Fourth Proportional to 23,503.48, 32,434.50 and 13,431.81

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Solution

The fourth proportional to 23,503.48, 32,434.50 and 13,431.81 is: 18,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,503.48 : 32,434.50 = 13,431.81 : x
  2. Step 2: Convert to fraction form
    23,503.48/32,434.50 = 13,431.81/x
  3. Step 3: Cross multiply
    23,503.48x = 32,434.50 × 13,431.81
  4. Step 4: Simplify right side
    23,503.48x = 435,654,041.45
  5. Step 5: Solve for x
    x = 435,654,041.45/23,503.48
  6. Step 6: Final answer
    x = 18,535.72

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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.