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Finding the Fourth Proportional to 30,213.36, 45,334.92 and 13,585.14

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Solution

The fourth proportional to 30,213.36, 45,334.92 and 13,585.14 is: 20,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,213.36 : 45,334.92 = 13,585.14 : x
  2. Step 2: Convert to fraction form
    30,213.36/45,334.92 = 13,585.14/x
  3. Step 3: Cross multiply
    30,213.36x = 45,334.92 × 13,585.14
  4. Step 4: Simplify right side
    30,213.36x = 615,881,235.09
  5. Step 5: Solve for x
    x = 615,881,235.09/30,213.36
  6. Step 6: Final answer
    x = 20,384.40

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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.