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Finding the Fourth Proportional to 13,129.68, 19,695.69 and 4,364.67

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Solution

The fourth proportional to 13,129.68, 19,695.69 and 4,364.67 is: 6,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.68 : 19,695.69 = 4,364.67 : x
  2. Step 2: Convert to fraction form
    13,129.68/19,695.69 = 4,364.67/x
  3. Step 3: Cross multiply
    13,129.68x = 19,695.69 × 4,364.67
  4. Step 4: Simplify right side
    13,129.68x = 85,965,187.27
  5. Step 5: Solve for x
    x = 85,965,187.27/13,129.68
  6. Step 6: Final answer
    x = 6,547.39

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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.