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Finding the Fourth Proportional to 12,407.91, 17,123.79 and 7,030.31

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Solution

The fourth proportional to 12,407.91, 17,123.79 and 7,030.31 is: 9,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.91 : 17,123.79 = 7,030.31 : x
  2. Step 2: Convert to fraction form
    12,407.91/17,123.79 = 7,030.31/x
  3. Step 3: Cross multiply
    12,407.91x = 17,123.79 × 7,030.31
  4. Step 4: Simplify right side
    12,407.91x = 120,385,431.30
  5. Step 5: Solve for x
    x = 120,385,431.30/12,407.91
  6. Step 6: Final answer
    x = 9,702.31

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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.