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Finding the Fourth Proportional to 12,269.46, 16,931.58 and 7,165.86

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Solution

The fourth proportional to 12,269.46, 16,931.58 and 7,165.86 is: 9,888.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.46 : 16,931.58 = 7,165.86 : x
  2. Step 2: Convert to fraction form
    12,269.46/16,931.58 = 7,165.86/x
  3. Step 3: Cross multiply
    12,269.46x = 16,931.58 × 7,165.86
  4. Step 4: Simplify right side
    12,269.46x = 121,329,331.86
  5. Step 5: Solve for x
    x = 121,329,331.86/12,269.46
  6. Step 6: Final answer
    x = 9,888.73

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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.