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Finding the Fourth Proportional to 16,457.63, 22,711.63 and 10,084.23

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Solution

The fourth proportional to 16,457.63, 22,711.63 and 10,084.23 is: 13,916.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.63 : 22,711.63 = 10,084.23 : x
  2. Step 2: Convert to fraction form
    16,457.63/22,711.63 = 10,084.23/x
  3. Step 3: Cross multiply
    16,457.63x = 22,711.63 × 10,084.23
  4. Step 4: Simplify right side
    16,457.63x = 229,029,382.58
  5. Step 5: Solve for x
    x = 229,029,382.58/16,457.63
  6. Step 6: Final answer
    x = 13,916.31

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1.5x scale

Why These Related Problems?

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