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Finding the Fourth Proportional to 22,648.31, 31,253.62 and 12,577.40

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Solution

The fourth proportional to 22,648.31, 31,253.62 and 12,577.40 is: 17,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.31 : 31,253.62 = 12,577.40 : x
  2. Step 2: Convert to fraction form
    22,648.31/31,253.62 = 12,577.40/x
  3. Step 3: Cross multiply
    22,648.31x = 31,253.62 × 12,577.40
  4. Step 4: Simplify right side
    22,648.31x = 393,089,061.03
  5. Step 5: Solve for x
    x = 393,089,061.03/22,648.31
  6. Step 6: Final answer
    x = 17,356.22

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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.