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Finding the Fourth Proportional to 13,283.76, 19,899.72 and 5,870.64

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Solution

The fourth proportional to 13,283.76, 19,899.72 and 5,870.64 is: 8,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.76 : 19,899.72 = 5,870.64 : x
  2. Step 2: Convert to fraction form
    13,283.76/19,899.72 = 5,870.64/x
  3. Step 3: Cross multiply
    13,283.76x = 19,899.72 × 5,870.64
  4. Step 4: Simplify right side
    13,283.76x = 116,824,092.22
  5. Step 5: Solve for x
    x = 116,824,092.22/13,283.76
  6. Step 6: Final answer
    x = 8,794.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.