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Finding the Fourth Proportional to 21,047.36, 31,570.02 and 7,898.70

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Solution

The fourth proportional to 21,047.36, 31,570.02 and 7,898.70 is: 11,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.36 : 31,570.02 = 7,898.70 : x
  2. Step 2: Convert to fraction form
    21,047.36/31,570.02 = 7,898.70/x
  3. Step 3: Cross multiply
    21,047.36x = 31,570.02 × 7,898.70
  4. Step 4: Simplify right side
    21,047.36x = 249,362,116.97
  5. Step 5: Solve for x
    x = 249,362,116.97/21,047.36
  6. Step 6: Final answer
    x = 11,847.67

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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.