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Finding the Fourth Proportional to 30,460.84, 45,698.46 and 9,684.28

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Solution

The fourth proportional to 30,460.84, 45,698.46 and 9,684.28 is: 14,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,460.84 : 45,698.46 = 9,684.28 : x
  2. Step 2: Convert to fraction form
    30,460.84/45,698.46 = 9,684.28/x
  3. Step 3: Cross multiply
    30,460.84x = 45,698.46 × 9,684.28
  4. Step 4: Simplify right side
    30,460.84x = 442,556,682.21
  5. Step 5: Solve for x
    x = 442,556,682.21/30,460.84
  6. Step 6: Final answer
    x = 14,528.71

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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.