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Finding the Fourth Proportional to 14,199.29, 19,595.15 and 7,826.11

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Solution

The fourth proportional to 14,199.29, 19,595.15 and 7,826.11 is: 10,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199.29 : 19,595.15 = 7,826.11 : x
  2. Step 2: Convert to fraction form
    14,199.29/19,595.15 = 7,826.11/x
  3. Step 3: Cross multiply
    14,199.29x = 19,595.15 × 7,826.11
  4. Step 4: Simplify right side
    14,199.29x = 153,353,867.92
  5. Step 5: Solve for x
    x = 153,353,867.92/14,199.29
  6. Step 6: Final answer
    x = 10,800.11

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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.