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Finding the Fourth Proportional to 16,178.32, 24,264.78 and 4,492.72

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Solution

The fourth proportional to 16,178.32, 24,264.78 and 4,492.72 is: 6,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.32 : 24,264.78 = 4,492.72 : x
  2. Step 2: Convert to fraction form
    16,178.32/24,264.78 = 4,492.72/x
  3. Step 3: Cross multiply
    16,178.32x = 24,264.78 × 4,492.72
  4. Step 4: Simplify right side
    16,178.32x = 109,014,862.40
  5. Step 5: Solve for x
    x = 109,014,862.40/16,178.32
  6. Step 6: Final answer
    x = 6,738.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.