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Finding the Fourth Proportional to 14,139.46, 19,510.74 and 8,396.02

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Solution

The fourth proportional to 14,139.46, 19,510.74 and 8,396.02 is: 11,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.46 : 19,510.74 = 8,396.02 : x
  2. Step 2: Convert to fraction form
    14,139.46/19,510.74 = 8,396.02/x
  3. Step 3: Cross multiply
    14,139.46x = 19,510.74 × 8,396.02
  4. Step 4: Simplify right side
    14,139.46x = 163,812,563.25
  5. Step 5: Solve for x
    x = 163,812,563.25/14,139.46
  6. Step 6: Final answer
    x = 11,585.49

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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.