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Finding the Fourth Proportional to 23,472.90, 32,399.37 and 14,047.02

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Solution

The fourth proportional to 23,472.90, 32,399.37 and 14,047.02 is: 19,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.90 : 32,399.37 = 14,047.02 : x
  2. Step 2: Convert to fraction form
    23,472.90/32,399.37 = 14,047.02/x
  3. Step 3: Cross multiply
    23,472.90x = 32,399.37 × 14,047.02
  4. Step 4: Simplify right side
    23,472.90x = 455,114,598.38
  5. Step 5: Solve for x
    x = 455,114,598.38/23,472.90
  6. Step 6: Final answer
    x = 19,388.94

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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.