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Finding the Fourth Proportional to 13,016.34, 19,510.50 and 5,624.28

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Solution

The fourth proportional to 13,016.34, 19,510.50 and 5,624.28 is: 8,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016.34 : 19,510.50 = 5,624.28 : x
  2. Step 2: Convert to fraction form
    13,016.34/19,510.50 = 5,624.28/x
  3. Step 3: Cross multiply
    13,016.34x = 19,510.50 × 5,624.28
  4. Step 4: Simplify right side
    13,016.34x = 109,732,514.94
  5. Step 5: Solve for x
    x = 109,732,514.94/13,016.34
  6. Step 6: Final answer
    x = 8,430.37

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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.