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Finding the Fourth Proportional to 12,176.03, 16,802.55 and 6,870.53

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Solution

The fourth proportional to 12,176.03, 16,802.55 and 6,870.53 is: 9,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.03 : 16,802.55 = 6,870.53 : x
  2. Step 2: Convert to fraction form
    12,176.03/16,802.55 = 6,870.53/x
  3. Step 3: Cross multiply
    12,176.03x = 16,802.55 × 6,870.53
  4. Step 4: Simplify right side
    12,176.03x = 115,442,339.84
  5. Step 5: Solve for x
    x = 115,442,339.84/12,176.03
  6. Step 6: Final answer
    x = 9,481.12

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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.