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Finding the Fourth Proportional to 21,143.38, 31,718.73 and 9,457.51

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Solution

The fourth proportional to 21,143.38, 31,718.73 and 9,457.51 is: 14,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143.38 : 31,718.73 = 9,457.51 : x
  2. Step 2: Convert to fraction form
    21,143.38/31,718.73 = 9,457.51/x
  3. Step 3: Cross multiply
    21,143.38x = 31,718.73 × 9,457.51
  4. Step 4: Simplify right side
    21,143.38x = 299,980,206.16
  5. Step 5: Solve for x
    x = 299,980,206.16/21,143.38
  6. Step 6: Final answer
    x = 14,187.90

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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.