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Finding the Fourth Proportional to 23,952, 33,054.10 and 13,881.18

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Solution

The fourth proportional to 23,952, 33,054.10 and 13,881.18 is: 19,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 33,054.10 = 13,881.18 : x
  2. Step 2: Convert to fraction form
    23,952/33,054.10 = 13,881.18/x
  3. Step 3: Cross multiply
    23,952x = 33,054.10 × 13,881.18
  4. Step 4: Simplify right side
    23,952x = 458,829,911.84
  5. Step 5: Solve for x
    x = 458,829,911.84/23,952
  6. Step 6: Final answer
    x = 19,156.23

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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.