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Finding the Fourth Proportional to 14,457.76, 19,950.72 and 8,084.08

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Solution

The fourth proportional to 14,457.76, 19,950.72 and 8,084.08 is: 11,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,457.76 : 19,950.72 = 8,084.08 : x
  2. Step 2: Convert to fraction form
    14,457.76/19,950.72 = 8,084.08/x
  3. Step 3: Cross multiply
    14,457.76x = 19,950.72 × 8,084.08
  4. Step 4: Simplify right side
    14,457.76x = 161,283,216.54
  5. Step 5: Solve for x
    x = 161,283,216.54/14,457.76
  6. Step 6: Final answer
    x = 11,155.48

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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.