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Finding the Fourth Proportional to 16,581.40, 22,881.98 and 9,683.76

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Solution

The fourth proportional to 16,581.40, 22,881.98 and 9,683.76 is: 13,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.40 : 22,881.98 = 9,683.76 : x
  2. Step 2: Convert to fraction form
    16,581.40/22,881.98 = 9,683.76/x
  3. Step 3: Cross multiply
    16,581.40x = 22,881.98 × 9,683.76
  4. Step 4: Simplify right side
    16,581.40x = 221,583,492.43
  5. Step 5: Solve for x
    x = 221,583,492.43/16,581.40
  6. Step 6: Final answer
    x = 13,363.37

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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.