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Finding the Fourth Proportional to 12,055.76, 16,638.72 and 7,339.16

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Solution

The fourth proportional to 12,055.76, 16,638.72 and 7,339.16 is: 10,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,055.76 : 16,638.72 = 7,339.16 : x
  2. Step 2: Convert to fraction form
    12,055.76/16,638.72 = 7,339.16/x
  3. Step 3: Cross multiply
    12,055.76x = 16,638.72 × 7,339.16
  4. Step 4: Simplify right side
    12,055.76x = 122,114,228.28
  5. Step 5: Solve for x
    x = 122,114,228.28/12,055.76
  6. Step 6: Final answer
    x = 10,129.12

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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.