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Finding the Fourth Proportional to 30,641.04, 45,960.48 and 9,864

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Solution

The fourth proportional to 30,641.04, 45,960.48 and 9,864 is: 14,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,641.04 : 45,960.48 = 9,864 : x
  2. Step 2: Convert to fraction form
    30,641.04/45,960.48 = 9,864/x
  3. Step 3: Cross multiply
    30,641.04x = 45,960.48 × 9,864
  4. Step 4: Simplify right side
    30,641.04x = 453,354,174.72
  5. Step 5: Solve for x
    x = 453,354,174.72/30,641.04
  6. Step 6: Final answer
    x = 14,795.65

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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.