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Finding the Fourth Proportional to 25,057, 34,570.06 and 14,294.14

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Solution

The fourth proportional to 25,057, 34,570.06 and 14,294.14 is: 19,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057 : 34,570.06 = 14,294.14 : x
  2. Step 2: Convert to fraction form
    25,057/34,570.06 = 14,294.14/x
  3. Step 3: Cross multiply
    25,057x = 34,570.06 × 14,294.14
  4. Step 4: Simplify right side
    25,057x = 494,149,277.45
  5. Step 5: Solve for x
    x = 494,149,277.45/25,057
  6. Step 6: Final answer
    x = 19,721.01

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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.