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Finding the Fourth Proportional to 19,422, 29,133.02 and 4,830

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Solution

The fourth proportional to 19,422, 29,133.02 and 4,830 is: 7,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,422 : 29,133.02 = 4,830 : x
  2. Step 2: Convert to fraction form
    19,422/29,133.02 = 4,830/x
  3. Step 3: Cross multiply
    19,422x = 29,133.02 × 4,830
  4. Step 4: Simplify right side
    19,422x = 140,712,486.60
  5. Step 5: Solve for x
    x = 140,712,486.60/19,422
  6. Step 6: Final answer
    x = 7,245.00

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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.