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Finding the Fourth Proportional to 17,585.40, 26,378.10 and 12,689.40

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Solution

The fourth proportional to 17,585.40, 26,378.10 and 12,689.40 is: 19,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.40 : 26,378.10 = 12,689.40 : x
  2. Step 2: Convert to fraction form
    17,585.40/26,378.10 = 12,689.40/x
  3. Step 3: Cross multiply
    17,585.40x = 26,378.10 × 12,689.40
  4. Step 4: Simplify right side
    17,585.40x = 334,722,262.14
  5. Step 5: Solve for x
    x = 334,722,262.14/17,585.40
  6. Step 6: Final answer
    x = 19,034.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.