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Finding the Fourth Proportional to 15,493.41, 21,384 and 9,834.90

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Solution

The fourth proportional to 15,493.41, 21,384 and 9,834.90 is: 13,574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.41 : 21,384 = 9,834.90 : x
  2. Step 2: Convert to fraction form
    15,493.41/21,384 = 9,834.90/x
  3. Step 3: Cross multiply
    15,493.41x = 21,384 × 9,834.90
  4. Step 4: Simplify right side
    15,493.41x = 210,309,501.60
  5. Step 5: Solve for x
    x = 210,309,501.60/15,493.41
  6. Step 6: Final answer
    x = 13,574.13

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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.