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Finding the Fourth Proportional to 23,275.38, 32,119.97 and 12,665.01

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Solution

The fourth proportional to 23,275.38, 32,119.97 and 12,665.01 is: 17,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275.38 : 32,119.97 = 12,665.01 : x
  2. Step 2: Convert to fraction form
    23,275.38/32,119.97 = 12,665.01/x
  3. Step 3: Cross multiply
    23,275.38x = 32,119.97 × 12,665.01
  4. Step 4: Simplify right side
    23,275.38x = 406,799,653.32
  5. Step 5: Solve for x
    x = 406,799,653.32/23,275.38
  6. Step 6: Final answer
    x = 17,477.68

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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.