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Finding the Fourth Proportional to 16,182.84, 24,275.57 and 4,496.06

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Solution

The fourth proportional to 16,182.84, 24,275.57 and 4,496.06 is: 6,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.84 : 24,275.57 = 4,496.06 : x
  2. Step 2: Convert to fraction form
    16,182.84/24,275.57 = 4,496.06/x
  3. Step 3: Cross multiply
    16,182.84x = 24,275.57 × 4,496.06
  4. Step 4: Simplify right side
    16,182.84x = 109,144,419.25
  5. Step 5: Solve for x
    x = 109,144,419.25/16,182.84
  6. Step 6: Final answer
    x = 6,744.45

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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.