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Finding the Fourth Proportional to 23,842.92, 32,907.15 and 14,412.90

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Solution

The fourth proportional to 23,842.92, 32,907.15 and 14,412.90 is: 19,892.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.92 : 32,907.15 = 14,412.90 : x
  2. Step 2: Convert to fraction form
    23,842.92/32,907.15 = 14,412.90/x
  3. Step 3: Cross multiply
    23,842.92x = 32,907.15 × 14,412.90
  4. Step 4: Simplify right side
    23,842.92x = 474,287,462.24
  5. Step 5: Solve for x
    x = 474,287,462.24/23,842.92
  6. Step 6: Final answer
    x = 19,892.17

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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.