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Finding the Fourth Proportional to 14,428.16, 19,899.32 and 9,950.88

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Solution

The fourth proportional to 14,428.16, 19,899.32 and 9,950.88 is: 13,724.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.16 : 19,899.32 = 9,950.88 : x
  2. Step 2: Convert to fraction form
    14,428.16/19,899.32 = 9,950.88/x
  3. Step 3: Cross multiply
    14,428.16x = 19,899.32 × 9,950.88
  4. Step 4: Simplify right side
    14,428.16x = 198,015,745.40
  5. Step 5: Solve for x
    x = 198,015,745.40/14,428.16
  6. Step 6: Final answer
    x = 13,724.25

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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.