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Finding the Fourth Proportional to 22,577.82, 31,156.74 and 12,506.64

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Solution

The fourth proportional to 22,577.82, 31,156.74 and 12,506.64 is: 17,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.82 : 31,156.74 = 12,506.64 : x
  2. Step 2: Convert to fraction form
    22,577.82/31,156.74 = 12,506.64/x
  3. Step 3: Cross multiply
    22,577.82x = 31,156.74 × 12,506.64
  4. Step 4: Simplify right side
    22,577.82x = 389,666,130.75
  5. Step 5: Solve for x
    x = 389,666,130.75/22,577.82
  6. Step 6: Final answer
    x = 17,258.80

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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.