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Finding the Fourth Proportional to 25,083, 34,614.54 and 13,907.16

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Solution

The fourth proportional to 25,083, 34,614.54 and 13,907.16 is: 19,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083 : 34,614.54 = 13,907.16 : x
  2. Step 2: Convert to fraction form
    25,083/34,614.54 = 13,907.16/x
  3. Step 3: Cross multiply
    25,083x = 34,614.54 × 13,907.16
  4. Step 4: Simplify right side
    25,083x = 481,389,946.11
  5. Step 5: Solve for x
    x = 481,389,946.11/25,083
  6. Step 6: Final answer
    x = 19,191.88

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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.