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Finding the Fourth Proportional to 21,854.75, 30,158.24 and 12,905.06

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Solution

The fourth proportional to 21,854.75, 30,158.24 and 12,905.06 is: 17,808.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.75 : 30,158.24 = 12,905.06 : x
  2. Step 2: Convert to fraction form
    21,854.75/30,158.24 = 12,905.06/x
  3. Step 3: Cross multiply
    21,854.75x = 30,158.24 × 12,905.06
  4. Step 4: Simplify right side
    21,854.75x = 389,193,681.38
  5. Step 5: Solve for x
    x = 389,193,681.38/21,854.75
  6. Step 6: Final answer
    x = 17,808.20

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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.