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Finding the Fourth Proportional to 12,129.16, 16,735.26 and 7,411.72

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Solution

The fourth proportional to 12,129.16, 16,735.26 and 7,411.72 is: 10,226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.16 : 16,735.26 = 7,411.72 : x
  2. Step 2: Convert to fraction form
    12,129.16/16,735.26 = 7,411.72/x
  3. Step 3: Cross multiply
    12,129.16x = 16,735.26 × 7,411.72
  4. Step 4: Simplify right side
    12,129.16x = 124,037,061.25
  5. Step 5: Solve for x
    x = 124,037,061.25/12,129.16
  6. Step 6: Final answer
    x = 10,226.35

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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.