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Finding the Fourth Proportional to 13,470.34, 18,589.64 and 7,502.01

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Solution

The fourth proportional to 13,470.34, 18,589.64 and 7,502.01 is: 10,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.34 : 18,589.64 = 7,502.01 : x
  2. Step 2: Convert to fraction form
    13,470.34/18,589.64 = 7,502.01/x
  3. Step 3: Cross multiply
    13,470.34x = 18,589.64 × 7,502.01
  4. Step 4: Simplify right side
    13,470.34x = 139,459,644.54
  5. Step 5: Solve for x
    x = 139,459,644.54/13,470.34
  6. Step 6: Final answer
    x = 10,353.09

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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.