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Finding the Fourth Proportional to 20,683.17, 31,031.78 and 9,004.05

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Solution

The fourth proportional to 20,683.17, 31,031.78 and 9,004.05 is: 13,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,683.17 : 31,031.78 = 9,004.05 : x
  2. Step 2: Convert to fraction form
    20,683.17/31,031.78 = 9,004.05/x
  3. Step 3: Cross multiply
    20,683.17x = 31,031.78 × 9,004.05
  4. Step 4: Simplify right side
    20,683.17x = 279,411,653.69
  5. Step 5: Solve for x
    x = 279,411,653.69/20,683.17
  6. Step 6: Final answer
    x = 13,509.13

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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.