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Finding the Fourth Proportional to 24,210.78, 33,405 and 14,133.45

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Solution

The fourth proportional to 24,210.78, 33,405 and 14,133.45 is: 19,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,210.78 : 33,405 = 14,133.45 : x
  2. Step 2: Convert to fraction form
    24,210.78/33,405 = 14,133.45/x
  3. Step 3: Cross multiply
    24,210.78x = 33,405 × 14,133.45
  4. Step 4: Simplify right side
    24,210.78x = 472,127,897.25
  5. Step 5: Solve for x
    x = 472,127,897.25/24,210.78
  6. Step 6: Final answer
    x = 19,500.73

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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.