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Finding the Fourth Proportional to 13,880.49, 19,154.88 and 7,592.82

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Solution

The fourth proportional to 13,880.49, 19,154.88 and 7,592.82 is: 10,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.49 : 19,154.88 = 7,592.82 : x
  2. Step 2: Convert to fraction form
    13,880.49/19,154.88 = 7,592.82/x
  3. Step 3: Cross multiply
    13,880.49x = 19,154.88 × 7,592.82
  4. Step 4: Simplify right side
    13,880.49x = 145,439,555.96
  5. Step 5: Solve for x
    x = 145,439,555.96/13,880.49
  6. Step 6: Final answer
    x = 10,477.98

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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.