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Finding the Fourth Proportional to 23,931.40, 33,025.98 and 13,320.40

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Solution

The fourth proportional to 23,931.40, 33,025.98 and 13,320.40 is: 18,382.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.40 : 33,025.98 = 13,320.40 : x
  2. Step 2: Convert to fraction form
    23,931.40/33,025.98 = 13,320.40/x
  3. Step 3: Cross multiply
    23,931.40x = 33,025.98 × 13,320.40
  4. Step 4: Simplify right side
    23,931.40x = 439,919,263.99
  5. Step 5: Solve for x
    x = 439,919,263.99/23,931.40
  6. Step 6: Final answer
    x = 18,382.51

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Why These Related Problems?

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