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Finding the Fourth Proportional to 19,286.30, 26,607.29 and 12,569.58

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Solution

The fourth proportional to 19,286.30, 26,607.29 and 12,569.58 is: 17,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286.30 : 26,607.29 = 12,569.58 : x
  2. Step 2: Convert to fraction form
    19,286.30/26,607.29 = 12,569.58/x
  3. Step 3: Cross multiply
    19,286.30x = 26,607.29 × 12,569.58
  4. Step 4: Simplify right side
    19,286.30x = 334,442,397.39
  5. Step 5: Solve for x
    x = 334,442,397.39/19,286.30
  6. Step 6: Final answer
    x = 17,340.93

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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.