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Finding the Fourth Proportional to 16,875.31, 25,313.65 and 5,783.12

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Solution

The fourth proportional to 16,875.31, 25,313.65 and 5,783.12 is: 8,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,875.31 : 25,313.65 = 5,783.12 : x
  2. Step 2: Convert to fraction form
    16,875.31/25,313.65 = 5,783.12/x
  3. Step 3: Cross multiply
    16,875.31x = 25,313.65 × 5,783.12
  4. Step 4: Simplify right side
    16,875.31x = 146,391,924.41
  5. Step 5: Solve for x
    x = 146,391,924.41/16,875.31
  6. Step 6: Final answer
    x = 8,674.92

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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.