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Finding the Fourth Proportional to 16,643.12, 22,956.95 and 12,655.49

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Solution

The fourth proportional to 16,643.12, 22,956.95 and 12,655.49 is: 17,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,643.12 : 22,956.95 = 12,655.49 : x
  2. Step 2: Convert to fraction form
    16,643.12/22,956.95 = 12,655.49/x
  3. Step 3: Cross multiply
    16,643.12x = 22,956.95 × 12,655.49
  4. Step 4: Simplify right side
    16,643.12x = 290,531,368.01
  5. Step 5: Solve for x
    x = 290,531,368.01/16,643.12
  6. Step 6: Final answer
    x = 17,456.55

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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.