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Finding the Fourth Proportional to 13,472.03, 18,590.15 and 7,807

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Solution

The fourth proportional to 13,472.03, 18,590.15 and 7,807 is: 10,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.03 : 18,590.15 = 7,807 : x
  2. Step 2: Convert to fraction form
    13,472.03/18,590.15 = 7,807/x
  3. Step 3: Cross multiply
    13,472.03x = 18,590.15 × 7,807
  4. Step 4: Simplify right side
    13,472.03x = 145,133,301.05
  5. Step 5: Solve for x
    x = 145,133,301.05/13,472.03
  6. Step 6: Final answer
    x = 10,772.93

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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.