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Finding the Fourth Proportional to 22,842.30, 31,537.98 and 14,795.40

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Solution

The fourth proportional to 22,842.30, 31,537.98 and 14,795.40 is: 20,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.30 : 31,537.98 = 14,795.40 : x
  2. Step 2: Convert to fraction form
    22,842.30/31,537.98 = 14,795.40/x
  3. Step 3: Cross multiply
    22,842.30x = 31,537.98 × 14,795.40
  4. Step 4: Simplify right side
    22,842.30x = 466,617,029.29
  5. Step 5: Solve for x
    x = 466,617,029.29/22,842.30
  6. Step 6: Final answer
    x = 20,427.76

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1.5x scale

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.