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Finding the Fourth Proportional to 22,815.10, 31,482.78 and 12,742.14

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Solution

The fourth proportional to 22,815.10, 31,482.78 and 12,742.14 is: 17,583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.10 : 31,482.78 = 12,742.14 : x
  2. Step 2: Convert to fraction form
    22,815.10/31,482.78 = 12,742.14/x
  3. Step 3: Cross multiply
    22,815.10x = 31,482.78 × 12,742.14
  4. Step 4: Simplify right side
    22,815.10x = 401,157,990.35
  5. Step 5: Solve for x
    x = 401,157,990.35/22,815.10
  6. Step 6: Final answer
    x = 17,583.01

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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.