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Finding the Fourth Proportional to 12,038.31, 16,613.71 and 7,004.03

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Solution

The fourth proportional to 12,038.31, 16,613.71 and 7,004.03 is: 9,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.31 : 16,613.71 = 7,004.03 : x
  2. Step 2: Convert to fraction form
    12,038.31/16,613.71 = 7,004.03/x
  3. Step 3: Cross multiply
    12,038.31x = 16,613.71 × 7,004.03
  4. Step 4: Simplify right side
    12,038.31x = 116,362,822.67
  5. Step 5: Solve for x
    x = 116,362,822.67/12,038.31
  6. Step 6: Final answer
    x = 9,666.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.