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Finding the Fourth Proportional to 13,070.64, 19,594.94 and 5,669.53

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Solution

The fourth proportional to 13,070.64, 19,594.94 and 5,669.53 is: 8,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070.64 : 19,594.94 = 5,669.53 : x
  2. Step 2: Convert to fraction form
    13,070.64/19,594.94 = 5,669.53/x
  3. Step 3: Cross multiply
    13,070.64x = 19,594.94 × 5,669.53
  4. Step 4: Simplify right side
    13,070.64x = 111,094,022.84
  5. Step 5: Solve for x
    x = 111,094,022.84/13,070.64
  6. Step 6: Final answer
    x = 8,499.51

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