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Finding the Fourth Proportional to 14,283.74, 19,720.26 and 9,510.62

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Solution

The fourth proportional to 14,283.74, 19,720.26 and 9,510.62 is: 13,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.74 : 19,720.26 = 9,510.62 : x
  2. Step 2: Convert to fraction form
    14,283.74/19,720.26 = 9,510.62/x
  3. Step 3: Cross multiply
    14,283.74x = 19,720.26 × 9,510.62
  4. Step 4: Simplify right side
    14,283.74x = 187,551,800.56
  5. Step 5: Solve for x
    x = 187,551,800.56/14,283.74
  6. Step 6: Final answer
    x = 13,130.44

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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.