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Finding the Fourth Proportional to 16,931.52, 23,365.69 and 9,378

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Solution

The fourth proportional to 16,931.52, 23,365.69 and 9,378 is: 12,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,931.52 : 23,365.69 = 9,378 : x
  2. Step 2: Convert to fraction form
    16,931.52/23,365.69 = 9,378/x
  3. Step 3: Cross multiply
    16,931.52x = 23,365.69 × 9,378
  4. Step 4: Simplify right side
    16,931.52x = 219,123,440.82
  5. Step 5: Solve for x
    x = 219,123,440.82/16,931.52
  6. Step 6: Final answer
    x = 12,941.75

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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.