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Finding the Fourth Proportional to 25,287.14, 37,929.02 and 7,756.81

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Solution

The fourth proportional to 25,287.14, 37,929.02 and 7,756.81 is: 11,634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,287.14 : 37,929.02 = 7,756.81 : x
  2. Step 2: Convert to fraction form
    25,287.14/37,929.02 = 7,756.81/x
  3. Step 3: Cross multiply
    25,287.14x = 37,929.02 × 7,756.81
  4. Step 4: Simplify right side
    25,287.14x = 294,208,068.02
  5. Step 5: Solve for x
    x = 294,208,068.02/25,287.14
  6. Step 6: Final answer
    x = 11,634.69

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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.