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Finding the Fourth Proportional to 19,772.16, 27,204.48 and 19,220.16

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Solution

The fourth proportional to 19,772.16, 27,204.48 and 19,220.16 is: 26,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.16 : 27,204.48 = 19,220.16 : x
  2. Step 2: Convert to fraction form
    19,772.16/27,204.48 = 19,220.16/x
  3. Step 3: Cross multiply
    19,772.16x = 27,204.48 × 19,220.16
  4. Step 4: Simplify right side
    19,772.16x = 522,874,458.32
  5. Step 5: Solve for x
    x = 522,874,458.32/19,772.16
  6. Step 6: Final answer
    x = 26,444.98

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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.