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Finding the Fourth Proportional to 30,665.36, 46,002.90 and 9,884

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Solution

The fourth proportional to 30,665.36, 46,002.90 and 9,884 is: 14,827.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.36 : 46,002.90 = 9,884 : x
  2. Step 2: Convert to fraction form
    30,665.36/46,002.90 = 9,884/x
  3. Step 3: Cross multiply
    30,665.36x = 46,002.90 × 9,884
  4. Step 4: Simplify right side
    30,665.36x = 454,692,663.60
  5. Step 5: Solve for x
    x = 454,692,663.60/30,665.36
  6. Step 6: Final answer
    x = 14,827.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.