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Finding the Fourth Proportional to 22,868.74, 31,560.48 and 12,798.16

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Solution

The fourth proportional to 22,868.74, 31,560.48 and 12,798.16 is: 17,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,868.74 : 31,560.48 = 12,798.16 : x
  2. Step 2: Convert to fraction form
    22,868.74/31,560.48 = 12,798.16/x
  3. Step 3: Cross multiply
    22,868.74x = 31,560.48 × 12,798.16
  4. Step 4: Simplify right side
    22,868.74x = 403,916,072.72
  5. Step 5: Solve for x
    x = 403,916,072.72/22,868.74
  6. Step 6: Final answer
    x = 17,662.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.