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Finding the Fourth Proportional to 23,704.70, 32,711.14 and 14,155.36

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Solution

The fourth proportional to 23,704.70, 32,711.14 and 14,155.36 is: 19,533.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.70 : 32,711.14 = 14,155.36 : x
  2. Step 2: Convert to fraction form
    23,704.70/32,711.14 = 14,155.36/x
  3. Step 3: Cross multiply
    23,704.70x = 32,711.14 × 14,155.36
  4. Step 4: Simplify right side
    23,704.70x = 463,037,962.71
  5. Step 5: Solve for x
    x = 463,037,962.71/23,704.70
  6. Step 6: Final answer
    x = 19,533.59

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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.