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Finding the Fourth Proportional to 15,696.71, 23,653.04 and 12,984.43

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Solution

The fourth proportional to 15,696.71, 23,653.04 and 12,984.43 is: 19,565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.71 : 23,653.04 = 12,984.43 : x
  2. Step 2: Convert to fraction form
    15,696.71/23,653.04 = 12,984.43/x
  3. Step 3: Cross multiply
    15,696.71x = 23,653.04 × 12,984.43
  4. Step 4: Simplify right side
    15,696.71x = 307,121,242.17
  5. Step 5: Solve for x
    x = 307,121,242.17/15,696.71
  6. Step 6: Final answer
    x = 19,565.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.