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Finding the Fourth Proportional to 14,782.84, 22,182.54 and 7,857.16

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Solution

The fourth proportional to 14,782.84, 22,182.54 and 7,857.16 is: 11,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.84 : 22,182.54 = 7,857.16 : x
  2. Step 2: Convert to fraction form
    14,782.84/22,182.54 = 7,857.16/x
  3. Step 3: Cross multiply
    14,782.84x = 22,182.54 × 7,857.16
  4. Step 4: Simplify right side
    14,782.84x = 174,291,765.99
  5. Step 5: Solve for x
    x = 174,291,765.99/14,782.84
  6. Step 6: Final answer
    x = 11,790.14

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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.