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Finding the Fourth Proportional to 14,184, 21,285.72 and 4,950

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Solution

The fourth proportional to 14,184, 21,285.72 and 4,950 is: 7,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184 : 21,285.72 = 4,950 : x
  2. Step 2: Convert to fraction form
    14,184/21,285.72 = 4,950/x
  3. Step 3: Cross multiply
    14,184x = 21,285.72 × 4,950
  4. Step 4: Simplify right side
    14,184x = 105,364,314
  5. Step 5: Solve for x
    x = 105,364,314/14,184
  6. Step 6: Final answer
    x = 7,428.39

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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.