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Finding the Fourth Proportional to 23,507.64, 32,440.59 and 12,897.36

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Solution

The fourth proportional to 23,507.64, 32,440.59 and 12,897.36 is: 17,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,507.64 : 32,440.59 = 12,897.36 : x
  2. Step 2: Convert to fraction form
    23,507.64/32,440.59 = 12,897.36/x
  3. Step 3: Cross multiply
    23,507.64x = 32,440.59 × 12,897.36
  4. Step 4: Simplify right side
    23,507.64x = 418,397,967.84
  5. Step 5: Solve for x
    x = 418,397,967.84/23,507.64
  6. Step 6: Final answer
    x = 17,798.38

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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.