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Finding the Fourth Proportional to 22,648.16, 31,254.72 and 12,576.80

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Solution

The fourth proportional to 22,648.16, 31,254.72 and 12,576.80 is: 17,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,648.16 : 31,254.72 = 12,576.80 : x
  2. Step 2: Convert to fraction form
    22,648.16/31,254.72 = 12,576.80/x
  3. Step 3: Cross multiply
    22,648.16x = 31,254.72 × 12,576.80
  4. Step 4: Simplify right side
    22,648.16x = 393,084,362.50
  5. Step 5: Solve for x
    x = 393,084,362.50/22,648.16
  6. Step 6: Final answer
    x = 17,356.13

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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.