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Finding the Fourth Proportional to 16,143.84, 22,262.99 and 10,476.50

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Solution

The fourth proportional to 16,143.84, 22,262.99 and 10,476.50 is: 14,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.84 : 22,262.99 = 10,476.50 : x
  2. Step 2: Convert to fraction form
    16,143.84/22,262.99 = 10,476.50/x
  3. Step 3: Cross multiply
    16,143.84x = 22,262.99 × 10,476.50
  4. Step 4: Simplify right side
    16,143.84x = 233,238,051.04
  5. Step 5: Solve for x
    x = 233,238,051.04/16,143.84
  6. Step 6: Final answer
    x = 14,447.50

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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.