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Finding the Fourth Proportional to 13,069.85, 19,602.90 and 5,276.84

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Solution

The fourth proportional to 13,069.85, 19,602.90 and 5,276.84 is: 7,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,069.85 : 19,602.90 = 5,276.84 : x
  2. Step 2: Convert to fraction form
    13,069.85/19,602.90 = 5,276.84/x
  3. Step 3: Cross multiply
    13,069.85x = 19,602.90 × 5,276.84
  4. Step 4: Simplify right side
    13,069.85x = 103,441,268.82
  5. Step 5: Solve for x
    x = 103,441,268.82/13,069.85
  6. Step 6: Final answer
    x = 7,914.50

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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.