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Finding the Fourth Proportional to 23,509.98, 32,434.83 and 14,308.38

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Solution

The fourth proportional to 23,509.98, 32,434.83 and 14,308.38 is: 19,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.98 : 32,434.83 = 14,308.38 : x
  2. Step 2: Convert to fraction form
    23,509.98/32,434.83 = 14,308.38/x
  3. Step 3: Cross multiply
    23,509.98x = 32,434.83 × 14,308.38
  4. Step 4: Simplify right side
    23,509.98x = 464,089,872.88
  5. Step 5: Solve for x
    x = 464,089,872.88/23,509.98
  6. Step 6: Final answer
    x = 19,740.12

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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.