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Finding the Fourth Proportional to 14,134, 21,210.72 and 4,900

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Solution

The fourth proportional to 14,134, 21,210.72 and 4,900 is: 7,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 21,210.72 = 4,900 : x
  2. Step 2: Convert to fraction form
    14,134/21,210.72 = 4,900/x
  3. Step 3: Cross multiply
    14,134x = 21,210.72 × 4,900
  4. Step 4: Simplify right side
    14,134x = 103,932,528
  5. Step 5: Solve for x
    x = 103,932,528/14,134
  6. Step 6: Final answer
    x = 7,353.37

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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.