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Finding the Fourth Proportional to 23,953, 33,055.14 and 14,017

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Solution

The fourth proportional to 23,953, 33,055.14 and 14,017 is: 19,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,953 : 33,055.14 = 14,017 : x
  2. Step 2: Convert to fraction form
    23,953/33,055.14 = 14,017/x
  3. Step 3: Cross multiply
    23,953x = 33,055.14 × 14,017
  4. Step 4: Simplify right side
    23,953x = 463,333,897.38
  5. Step 5: Solve for x
    x = 463,333,897.38/23,953
  6. Step 6: Final answer
    x = 19,343.46

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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.