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Finding the Fourth Proportional to 22,953.66, 31,674.72 and 12,881.16

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Solution

The fourth proportional to 22,953.66, 31,674.72 and 12,881.16 is: 17,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.66 : 31,674.72 = 12,881.16 : x
  2. Step 2: Convert to fraction form
    22,953.66/31,674.72 = 12,881.16/x
  3. Step 3: Cross multiply
    22,953.66x = 31,674.72 × 12,881.16
  4. Step 4: Simplify right side
    22,953.66x = 408,007,136.28
  5. Step 5: Solve for x
    x = 408,007,136.28/22,953.66
  6. Step 6: Final answer
    x = 17,775.25

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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.