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Finding the Fourth Proportional to 13,094.71, 19,635.63 and 4,658.38

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Solution

The fourth proportional to 13,094.71, 19,635.63 and 4,658.38 is: 6,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,094.71 : 19,635.63 = 4,658.38 : x
  2. Step 2: Convert to fraction form
    13,094.71/19,635.63 = 4,658.38/x
  3. Step 3: Cross multiply
    13,094.71x = 19,635.63 × 4,658.38
  4. Step 4: Simplify right side
    13,094.71x = 91,470,226.08
  5. Step 5: Solve for x
    x = 91,470,226.08/13,094.71
  6. Step 6: Final answer
    x = 6,985.28

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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.