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Finding the Fourth Proportional to 19,536.26, 26,960.00 and 10,584

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Solution

The fourth proportional to 19,536.26, 26,960.00 and 10,584 is: 14,605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.26 : 26,960.00 = 10,584 : x
  2. Step 2: Convert to fraction form
    19,536.26/26,960.00 = 10,584/x
  3. Step 3: Cross multiply
    19,536.26x = 26,960.00 × 10,584
  4. Step 4: Simplify right side
    19,536.26x = 285,344,587.08
  5. Step 5: Solve for x
    x = 285,344,587.08/19,536.26
  6. Step 6: Final answer
    x = 14,605.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.