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Finding the Fourth Proportional to 19,729.60, 27,569.60 and 19,729.60

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Solution

The fourth proportional to 19,729.60, 27,569.60 and 19,729.60 is: 27,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,729.60 : 27,569.60 = 19,729.60 : x
  2. Step 2: Convert to fraction form
    19,729.60/27,569.60 = 19,729.60/x
  3. Step 3: Cross multiply
    19,729.60x = 27,569.60 × 19,729.60
  4. Step 4: Simplify right side
    19,729.60x = 543,937,180.16
  5. Step 5: Solve for x
    x = 543,937,180.16/19,729.60
  6. Step 6: Final answer
    x = 27,569.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.