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Finding the Fourth Proportional to 15,834.40, 21,852.96 and 9,461

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Solution

The fourth proportional to 15,834.40, 21,852.96 and 9,461 is: 13,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.40 : 21,852.96 = 9,461 : x
  2. Step 2: Convert to fraction form
    15,834.40/21,852.96 = 9,461/x
  3. Step 3: Cross multiply
    15,834.40x = 21,852.96 × 9,461
  4. Step 4: Simplify right side
    15,834.40x = 206,750,854.56
  5. Step 5: Solve for x
    x = 206,750,854.56/15,834.40
  6. Step 6: Final answer
    x = 13,057.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.