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Finding the Fourth Proportional to 13,785.60, 19,334.40 and 13,785.60

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Solution

The fourth proportional to 13,785.60, 19,334.40 and 13,785.60 is: 19,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.60 : 19,334.40 = 13,785.60 : x
  2. Step 2: Convert to fraction form
    13,785.60/19,334.40 = 13,785.60/x
  3. Step 3: Cross multiply
    13,785.60x = 19,334.40 × 13,785.60
  4. Step 4: Simplify right side
    13,785.60x = 266,536,304.64
  5. Step 5: Solve for x
    x = 266,536,304.64/13,785.60
  6. Step 6: Final answer
    x = 19,334.40

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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.