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Finding the Fourth Proportional to 21,139.46, 31,709.50 and 10,047.28

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Solution

The fourth proportional to 21,139.46, 31,709.50 and 10,047.28 is: 15,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.46 : 31,709.50 = 10,047.28 : x
  2. Step 2: Convert to fraction form
    21,139.46/31,709.50 = 10,047.28/x
  3. Step 3: Cross multiply
    21,139.46x = 31,709.50 × 10,047.28
  4. Step 4: Simplify right side
    21,139.46x = 318,594,225.16
  5. Step 5: Solve for x
    x = 318,594,225.16/21,139.46
  6. Step 6: Final answer
    x = 15,071.07

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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.