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Finding the Fourth Proportional to 25,747.94, 35,532.69 and 14,569.94

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Solution

The fourth proportional to 25,747.94, 35,532.69 and 14,569.94 is: 20,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,747.94 : 35,532.69 = 14,569.94 : x
  2. Step 2: Convert to fraction form
    25,747.94/35,532.69 = 14,569.94/x
  3. Step 3: Cross multiply
    25,747.94x = 35,532.69 × 14,569.94
  4. Step 4: Simplify right side
    25,747.94x = 517,709,161.34
  5. Step 5: Solve for x
    x = 517,709,161.34/25,747.94
  6. Step 6: Final answer
    x = 20,106.82

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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.