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Finding the Fourth Proportional to 15,834.58, 21,853.98 and 9,119.53

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Solution

The fourth proportional to 15,834.58, 21,853.98 and 9,119.53 is: 12,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.58 : 21,853.98 = 9,119.53 : x
  2. Step 2: Convert to fraction form
    15,834.58/21,853.98 = 9,119.53/x
  3. Step 3: Cross multiply
    15,834.58x = 21,853.98 × 9,119.53
  4. Step 4: Simplify right side
    15,834.58x = 199,298,026.23
  5. Step 5: Solve for x
    x = 199,298,026.23/15,834.58
  6. Step 6: Final answer
    x = 12,586.25

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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.