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Finding the Fourth Proportional to 23,535.68, 35,298.14 and 14,050.68

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Solution

The fourth proportional to 23,535.68, 35,298.14 and 14,050.68 is: 21,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,535.68 : 35,298.14 = 14,050.68 : x
  2. Step 2: Convert to fraction form
    23,535.68/35,298.14 = 14,050.68/x
  3. Step 3: Cross multiply
    23,535.68x = 35,298.14 × 14,050.68
  4. Step 4: Simplify right side
    23,535.68x = 495,962,869.74
  5. Step 5: Solve for x
    x = 495,962,869.74/23,535.68
  6. Step 6: Final answer
    x = 21,072.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.