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Finding the Fourth Proportional to 12,303.60, 16,980.22 and 7,269.46

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Solution

The fourth proportional to 12,303.60, 16,980.22 and 7,269.46 is: 10,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.60 : 16,980.22 = 7,269.46 : x
  2. Step 2: Convert to fraction form
    12,303.60/16,980.22 = 7,269.46/x
  3. Step 3: Cross multiply
    12,303.60x = 16,980.22 × 7,269.46
  4. Step 4: Simplify right side
    12,303.60x = 123,437,030.08
  5. Step 5: Solve for x
    x = 123,437,030.08/12,303.60
  6. Step 6: Final answer
    x = 10,032.59

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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.