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Finding the Fourth Proportional to 30,264.70, 45,397.38 and 9,208.16

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Solution

The fourth proportional to 30,264.70, 45,397.38 and 9,208.16 is: 13,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,264.70 : 45,397.38 = 9,208.16 : x
  2. Step 2: Convert to fraction form
    30,264.70/45,397.38 = 9,208.16/x
  3. Step 3: Cross multiply
    30,264.70x = 45,397.38 × 9,208.16
  4. Step 4: Simplify right side
    30,264.70x = 418,026,338.62
  5. Step 5: Solve for x
    x = 418,026,338.62/30,264.70
  6. Step 6: Final answer
    x = 13,812.34

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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.