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Finding the Fourth Proportional to 12,176.08, 16,802.04 and 7,459.72

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Solution

The fourth proportional to 12,176.08, 16,802.04 and 7,459.72 is: 10,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.08 : 16,802.04 = 7,459.72 : x
  2. Step 2: Convert to fraction form
    12,176.08/16,802.04 = 7,459.72/x
  3. Step 3: Cross multiply
    12,176.08x = 16,802.04 × 7,459.72
  4. Step 4: Simplify right side
    12,176.08x = 125,338,513.83
  5. Step 5: Solve for x
    x = 125,338,513.83/12,176.08
  6. Step 6: Final answer
    x = 10,293.83

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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.