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Finding the Fourth Proportional to 14,130.84, 19,500.21 and 7,842.81

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Solution

The fourth proportional to 14,130.84, 19,500.21 and 7,842.81 is: 10,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,130.84 : 19,500.21 = 7,842.81 : x
  2. Step 2: Convert to fraction form
    14,130.84/19,500.21 = 7,842.81/x
  3. Step 3: Cross multiply
    14,130.84x = 19,500.21 × 7,842.81
  4. Step 4: Simplify right side
    14,130.84x = 152,936,441.99
  5. Step 5: Solve for x
    x = 152,936,441.99/14,130.84
  6. Step 6: Final answer
    x = 10,822.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.