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Finding the Fourth Proportional to 25,752.84, 38,646.57 and 9,112.80

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Solution

The fourth proportional to 25,752.84, 38,646.57 and 9,112.80 is: 13,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.84 : 38,646.57 = 9,112.80 : x
  2. Step 2: Convert to fraction form
    25,752.84/38,646.57 = 9,112.80/x
  3. Step 3: Cross multiply
    25,752.84x = 38,646.57 × 9,112.80
  4. Step 4: Simplify right side
    25,752.84x = 352,178,463.10
  5. Step 5: Solve for x
    x = 352,178,463.10/25,752.84
  6. Step 6: Final answer
    x = 13,675.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.