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Finding the Fourth Proportional to 13,465.72, 20,200.86 and 6,070.02

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Solution

The fourth proportional to 13,465.72, 20,200.86 and 6,070.02 is: 9,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.72 : 20,200.86 = 6,070.02 : x
  2. Step 2: Convert to fraction form
    13,465.72/20,200.86 = 6,070.02/x
  3. Step 3: Cross multiply
    13,465.72x = 20,200.86 × 6,070.02
  4. Step 4: Simplify right side
    13,465.72x = 122,619,624.22
  5. Step 5: Solve for x
    x = 122,619,624.22/13,465.72
  6. Step 6: Final answer
    x = 9,106.06

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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.