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Finding the Fourth Proportional to 15,821.42, 21,833.03 and 9,106.12

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Solution

The fourth proportional to 15,821.42, 21,833.03 and 9,106.12 is: 12,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.42 : 21,833.03 = 9,106.12 : x
  2. Step 2: Convert to fraction form
    15,821.42/21,833.03 = 9,106.12/x
  3. Step 3: Cross multiply
    15,821.42x = 21,833.03 × 9,106.12
  4. Step 4: Simplify right side
    15,821.42x = 198,814,036.45
  5. Step 5: Solve for x
    x = 198,814,036.45/15,821.42
  6. Step 6: Final answer
    x = 12,566.13

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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.