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Finding the Fourth Proportional to 15,821.78, 21,832.43 and 9,106.10

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Solution

The fourth proportional to 15,821.78, 21,832.43 and 9,106.10 is: 12,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.78 : 21,832.43 = 9,106.10 : x
  2. Step 2: Convert to fraction form
    15,821.78/21,832.43 = 9,106.10/x
  3. Step 3: Cross multiply
    15,821.78x = 21,832.43 × 9,106.10
  4. Step 4: Simplify right side
    15,821.78x = 198,808,290.82
  5. Step 5: Solve for x
    x = 198,808,290.82/15,821.78
  6. Step 6: Final answer
    x = 12,565.48

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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.