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Finding the Fourth Proportional to 14,184.84, 19,576.32 and 7,898.40

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Solution

The fourth proportional to 14,184.84, 19,576.32 and 7,898.40 is: 10,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.84 : 19,576.32 = 7,898.40 : x
  2. Step 2: Convert to fraction form
    14,184.84/19,576.32 = 7,898.40/x
  3. Step 3: Cross multiply
    14,184.84x = 19,576.32 × 7,898.40
  4. Step 4: Simplify right side
    14,184.84x = 154,621,605.89
  5. Step 5: Solve for x
    x = 154,621,605.89/14,184.84
  6. Step 6: Final answer
    x = 10,900.48

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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.