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Finding the Fourth Proportional to 24,178, 33,365.76 and 14,113.42

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Solution

The fourth proportional to 24,178, 33,365.76 and 14,113.42 is: 19,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 33,365.76 = 14,113.42 : x
  2. Step 2: Convert to fraction form
    24,178/33,365.76 = 14,113.42/x
  3. Step 3: Cross multiply
    24,178x = 33,365.76 × 14,113.42
  4. Step 4: Simplify right side
    24,178x = 470,904,984.50
  5. Step 5: Solve for x
    x = 470,904,984.50/24,178
  6. Step 6: Final answer
    x = 19,476.59

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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.