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Finding the Fourth Proportional to 23,154, 31,967.88 and 14,337.36

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Solution

The fourth proportional to 23,154, 31,967.88 and 14,337.36 is: 19,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 31,967.88 = 14,337.36 : x
  2. Step 2: Convert to fraction form
    23,154/31,967.88 = 14,337.36/x
  3. Step 3: Cross multiply
    23,154x = 31,967.88 × 14,337.36
  4. Step 4: Simplify right side
    23,154x = 458,335,004.00
  5. Step 5: Solve for x
    x = 458,335,004.00/23,154
  6. Step 6: Final answer
    x = 19,795.07

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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.