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Finding the Fourth Proportional to 23,530.40, 35,252.40 and 19,815.20

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Solution

The fourth proportional to 23,530.40, 35,252.40 and 19,815.20 is: 29,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.40 : 35,252.40 = 19,815.20 : x
  2. Step 2: Convert to fraction form
    23,530.40/35,252.40 = 19,815.20/x
  3. Step 3: Cross multiply
    23,530.40x = 35,252.40 × 19,815.20
  4. Step 4: Simplify right side
    23,530.40x = 698,533,356.48
  5. Step 5: Solve for x
    x = 698,533,356.48/23,530.40
  6. Step 6: Final answer
    x = 29,686.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.