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Finding the Fourth Proportional to 14,098.72, 19,457.04 and 8,510.56

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Solution

The fourth proportional to 14,098.72, 19,457.04 and 8,510.56 is: 11,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.72 : 19,457.04 = 8,510.56 : x
  2. Step 2: Convert to fraction form
    14,098.72/19,457.04 = 8,510.56/x
  3. Step 3: Cross multiply
    14,098.72x = 19,457.04 × 8,510.56
  4. Step 4: Simplify right side
    14,098.72x = 165,590,306.34
  5. Step 5: Solve for x
    x = 165,590,306.34/14,098.72
  6. Step 6: Final answer
    x = 11,745.06

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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.