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Finding the Fourth Proportional to 15,965.64, 23,807.81 and 14,857.56

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Solution

The fourth proportional to 15,965.64, 23,807.81 and 14,857.56 is: 22,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,965.64 : 23,807.81 = 14,857.56 : x
  2. Step 2: Convert to fraction form
    15,965.64/23,807.81 = 14,857.56/x
  3. Step 3: Cross multiply
    15,965.64x = 23,807.81 × 14,857.56
  4. Step 4: Simplify right side
    15,965.64x = 353,725,965.54
  5. Step 5: Solve for x
    x = 353,725,965.54/15,965.64
  6. Step 6: Final answer
    x = 22,155.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.