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Finding the Fourth Proportional to 14,019, 19,346.46 and 9,059.64

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Solution

The fourth proportional to 14,019, 19,346.46 and 9,059.64 is: 12,502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 19,346.46 = 9,059.64 : x
  2. Step 2: Convert to fraction form
    14,019/19,346.46 = 9,059.64/x
  3. Step 3: Cross multiply
    14,019x = 19,346.46 × 9,059.64
  4. Step 4: Simplify right side
    14,019x = 175,271,962.87
  5. Step 5: Solve for x
    x = 175,271,962.87/14,019
  6. Step 6: Final answer
    x = 12,502.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.