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Finding the Fourth Proportional to 16,565.64, 22,861.54 and 9,395.84

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Solution

The fourth proportional to 16,565.64, 22,861.54 and 9,395.84 is: 12,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.64 : 22,861.54 = 9,395.84 : x
  2. Step 2: Convert to fraction form
    16,565.64/22,861.54 = 9,395.84/x
  3. Step 3: Cross multiply
    16,565.64x = 22,861.54 × 9,395.84
  4. Step 4: Simplify right side
    16,565.64x = 214,803,371.99
  5. Step 5: Solve for x
    x = 214,803,371.99/16,565.64
  6. Step 6: Final answer
    x = 12,966.80

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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.