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Finding the Fourth Proportional to 19,459.72, 26,826.40 and 13,861

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Solution

The fourth proportional to 19,459.72, 26,826.40 and 13,861 is: 19,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,459.72 : 26,826.40 = 13,861 : x
  2. Step 2: Convert to fraction form
    19,459.72/26,826.40 = 13,861/x
  3. Step 3: Cross multiply
    19,459.72x = 26,826.40 × 13,861
  4. Step 4: Simplify right side
    19,459.72x = 371,840,730.40
  5. Step 5: Solve for x
    x = 371,840,730.40/19,459.72
  6. Step 6: Final answer
    x = 19,108.23

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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.