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Finding the Fourth Proportional to 15,253.66, 22,875.60 and 7,857.14

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Solution

The fourth proportional to 15,253.66, 22,875.60 and 7,857.14 is: 11,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,253.66 : 22,875.60 = 7,857.14 : x
  2. Step 2: Convert to fraction form
    15,253.66/22,875.60 = 7,857.14/x
  3. Step 3: Cross multiply
    15,253.66x = 22,875.60 × 7,857.14
  4. Step 4: Simplify right side
    15,253.66x = 179,736,791.78
  5. Step 5: Solve for x
    x = 179,736,791.78/15,253.66
  6. Step 6: Final answer
    x = 11,783.19

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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.