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Finding the Fourth Proportional to 13,465.90, 20,186.07 and 4,698.46

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Solution

The fourth proportional to 13,465.90, 20,186.07 and 4,698.46 is: 7,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.90 : 20,186.07 = 4,698.46 : x
  2. Step 2: Convert to fraction form
    13,465.90/20,186.07 = 4,698.46/x
  3. Step 3: Cross multiply
    13,465.90x = 20,186.07 × 4,698.46
  4. Step 4: Simplify right side
    13,465.90x = 94,843,442.45
  5. Step 5: Solve for x
    x = 94,843,442.45/13,465.90
  6. Step 6: Final answer
    x = 7,043.23

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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.