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Finding the Fourth Proportional to 13,463.34, 18,581.58 and 7,798.20

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Solution

The fourth proportional to 13,463.34, 18,581.58 and 7,798.20 is: 10,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.34 : 18,581.58 = 7,798.20 : x
  2. Step 2: Convert to fraction form
    13,463.34/18,581.58 = 7,798.20/x
  3. Step 3: Cross multiply
    13,463.34x = 18,581.58 × 7,798.20
  4. Step 4: Simplify right side
    13,463.34x = 144,902,877.16
  5. Step 5: Solve for x
    x = 144,902,877.16/13,463.34
  6. Step 6: Final answer
    x = 10,762.77

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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.