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Finding the Fourth Proportional to 16,405.74, 24,480.58 and 14,638.57

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Solution

The fourth proportional to 16,405.74, 24,480.58 and 14,638.57 is: 21,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.74 : 24,480.58 = 14,638.57 : x
  2. Step 2: Convert to fraction form
    16,405.74/24,480.58 = 14,638.57/x
  3. Step 3: Cross multiply
    16,405.74x = 24,480.58 × 14,638.57
  4. Step 4: Simplify right side
    16,405.74x = 358,360,751.32
  5. Step 5: Solve for x
    x = 358,360,751.32/16,405.74
  6. Step 6: Final answer
    x = 21,843.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.