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Finding the Fourth Proportional to 16,524.18, 22,802.74 and 8,970.35

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Solution

The fourth proportional to 16,524.18, 22,802.74 and 8,970.35 is: 12,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.18 : 22,802.74 = 8,970.35 : x
  2. Step 2: Convert to fraction form
    16,524.18/22,802.74 = 8,970.35/x
  3. Step 3: Cross multiply
    16,524.18x = 22,802.74 × 8,970.35
  4. Step 4: Simplify right side
    16,524.18x = 204,548,558.76
  5. Step 5: Solve for x
    x = 204,548,558.76/16,524.18
  6. Step 6: Final answer
    x = 12,378.74

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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.